116:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000 Funciones racionales y cónicas:@0.073089:0.043661:0.343993:0.043661:0.343993:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Otra forma de presentar la :@0.082576:0.182188:0.259493:0.182188:0.259493:0.167903:0.082576:0.167903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ecuación canónica de la :@0.082576:0.197317:0.259302:0.197317:0.259302:0.183032:0.082576:0.183032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 parábola, es::@0.082576:0.212446:0.164270:0.212446:0.164270:0.198161:0.082576:0.198161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ecuación canónica de la :@0.082576:0.236513:0.259105:0.236513:0.259105:0.221107:0.082576:0.221107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 parábola:@0.082576:0.251642:0.146732:0.251642:0.146732:0.236236:0.082576:0.236236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La ecuación de la parábola :@0.082576:0.275710:0.259511:0.275710:0.259511:0.261426:0.082576:0.261426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de vértice (0, 0) y eje :@0.082576:0.290839:0.259352:0.290839:0.259352:0.276555:0.082576:0.276555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 V:@0.154414:0.290839:0.162697:0.290839:0.162697:0.276807:0.154414:0.276807:0.000000 5:@0.167450:0.290334:0.181389:0.290334:0.181389:0.277866:0.167450:0.277866:0.000000 focal :@0.082576:0.305968:0.135756:0.305968:0.135756:0.291683:0.082576:0.291683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.124896:0.305968:0.131690:0.305968:0.131690:0.291936:0.124896:0.291936:0.000000 5:@0.140123:0.305463:0.154063:0.305463:0.154063:0.292995:0.140123:0.292995:0.000000 0, (eje ) es: :@0.154682:0.305968:0.259369:0.305968:0.259369:0.291683:0.154682:0.291683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.217208:0.305968:0.223985:0.305968:0.223985:0.291936:0.217208:0.291936:0.000000 4 donde::@0.082576:0.321097:0.188303:0.321088:0.188303:0.306804:0.082576:0.306812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.086006:0.321097:0.092800:0.321097:0.092800:0.307065:0.086006:0.307065:0.000000 2:@0.092566:0.315575:0.097327:0.315575:0.097327:0.307247:0.092566:0.307247:0.000000 5:@0.100617:0.320584:0.114557:0.320584:0.114557:0.308115:0.100617:0.308115:0.000000 cx:@0.125651:0.321088:0.139155:0.321088:0.139155:0.307056:0.125651:0.307056:0.000000:0.000000 c :@0.082576:0.345466:0.093546:0.345466:0.093546:0.330030:0.082576:0.330030:0.000000:0.000000 . :@0.093546:0.344911:0.113481:0.344911:0.113481:0.331195:0.093546:0.331195:0.000000:0.000000 0 :@0.113481:0.345466:0.126495:0.345466:0.126495:0.329753:0.113481:0.329753:0.000000:0.000000 ⇒:@0.126495:0.345050:0.144663:0.345050:0.144663:0.328061:0.126495:0.328061:0.000000 Las ramas de la :@0.144802:0.345150:0.259396:0.345150:0.259396:0.330866:0.144802:0.330866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 parábola apuntan hacia la :@0.082569:0.360279:0.259279:0.360279:0.259279:0.345995:0.082569:0.345995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 derecha. :@0.082569:0.375408:0.151831:0.375408:0.151831:0.361124:0.082569:0.361124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c :@0.158626:0.375723:0.169597:0.375723:0.169597:0.360288:0.158626:0.360288:0.000000:0.000000 , :@0.169597:0.375169:0.189532:0.375169:0.189532:0.361453:0.169597:0.361453:0.000000:0.000000 0 :@0.189532:0.375723:0.202546:0.375723:0.202546:0.360011:0.189532:0.360011:0.000000:0.000000 ⇒:@0.202546:0.375307:0.220714:0.375307:0.220714:0.358319:0.202546:0.358319:0.000000 Las :@0.221780:0.375408:0.259381:0.375408:0.259381:0.361124:0.221780:0.361124:0.000000:0.000000:0.000000:0.000000:0.000000 ramas de la parábola :@0.082571:0.390537:0.259464:0.390537:0.259464:0.376253:0.082571:0.376253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 apuntan hacia la izquierda.:@0.082571:0.405666:0.255713:0.405666:0.255713:0.391382:0.082571:0.391382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La expresión canónica de :@0.082571:0.429734:0.259349:0.429734:0.259349:0.415450:0.082571:0.415450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la parábola vertical con :@0.082571:0.444863:0.259364:0.444863:0.259364:0.430578:0.082571:0.430578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 V:@0.247416:0.444863:0.255699:0.444863:0.255699:0.430831:0.247416:0.430831:0.000000 (0, 0) y eje focal 0 (eje :@0.082571:0.459992:0.259377:0.459992:0.259377:0.445707:0.082571:0.445707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.186538:0.459992:0.196746:0.459992:0.196746:0.445960:0.186538:0.445960:0.000000:0.000000 5:@0.200946:0.459487:0.214885:0.459487:0.214885:0.447019:0.200946:0.447019:0.000000 y:@0.082571:0.475121:0.089365:0.475121:0.089365:0.461088:0.082571:0.461088:0.000000 ) es: :@0.089298:0.475121:0.118063:0.475121:0.118063:0.460836:0.089298:0.460836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.082571:0.499188:0.089348:0.499188:0.089348:0.485156:0.082571:0.485156:0.000000 2:@0.089293:0.493668:0.094053:0.493668:0.094053:0.485340:0.089293:0.485340:0.000000 4 .:@0.094011:0.499181:0.139912:0.499181:0.139912:0.484896:0.094011:0.484896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.097608:0.498676:0.111548:0.498676:0.111548:0.486208:0.097608:0.486208:0.000000 cy:@0.123144:0.499181:0.137050:0.499181:0.137050:0.485149:0.123144:0.485149:0.000000:0.000000 Donde::@0.082581:0.523248:0.131170:0.523248:0.131170:0.508964:0.082581:0.508964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c :@0.082576:0.547622:0.093546:0.547622:0.093546:0.532187:0.082576:0.532187:0.000000:0.000000 . :@0.093546:0.547068:0.113481:0.547068:0.113481:0.533352:0.093546:0.533352:0.000000:0.000000 0 :@0.113481:0.547622:0.126495:0.547622:0.126495:0.531910:0.113481:0.531910:0.000000:0.000000 ⇒:@0.126495:0.547206:0.144663:0.547206:0.144663:0.530218:0.126495:0.530218:0.000000 Las ramas de la :@0.144802:0.547307:0.259396:0.547307:0.259396:0.533023:0.144802:0.533023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 parábola apuntan hacia la :@0.082569:0.562436:0.259279:0.562436:0.259279:0.548152:0.082569:0.548152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 arriba. :@0.082569:0.577565:0.127307:0.577565:0.127307:0.563281:0.082569:0.563281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c :@0.127834:0.577565:0.137824:0.577565:0.137824:0.563533:0.127834:0.563533:0.000000:0.000000 , :@0.138226:0.577061:0.156374:0.577061:0.156374:0.564592:0.138226:0.564592:0.000000:0.000000 0 :@0.156934:0.577565:0.168782:0.577565:0.168782:0.563281:0.156934:0.563281:0.000000:0.000000 ⇒:@0.169284:0.577187:0.185800:0.577187:0.185800:0.561743:0.169284:0.561743:0.000000 Las ramas :@0.185817:0.577565:0.259346:0.577565:0.259346:0.563281:0.185817:0.563281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de la parábola apuntan :@0.082569:0.592694:0.259295:0.592694:0.259295:0.578410:0.082569:0.578410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 hacia la abajo.:@0.082569:0.607823:0.174751:0.607823:0.174751:0.593539:0.082569:0.593539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Coordenadas del foco: (0, :@0.082569:0.631890:0.259379:0.631890:0.259379:0.617606:0.082569:0.617606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 F:@0.233090:0.631890:0.240403:0.631890:0.240403:0.617858:0.233090:0.617858:0.000000 c:@0.082569:0.647019:0.089530:0.647019:0.089530:0.632987:0.082569:0.632987:0.000000 ) y la ecuación de la :@0.090133:0.647019:0.259346:0.647019:0.259346:0.632735:0.090133:0.632735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 directriz :@0.082569:0.662148:0.166925:0.662148:0.166925:0.647864:0.082569:0.647864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.139079:0.662148:0.145873:0.662148:0.145873:0.648116:0.139079:0.648116:0.000000 5 2:@0.149404:0.661644:0.180797:0.661644:0.180797:0.649175:0.149404:0.649175:0.000000:0.000000:0.000000 c:@0.180713:0.662148:0.187675:0.662148:0.187675:0.648116:0.180713:0.648116:0.000000 .:@0.187608:0.662148:0.190519:0.662148:0.190519:0.647864:0.187608:0.647864:0.000000 La ecuación de la parábola :@0.082569:0.686216:0.259505:0.686216:0.259505:0.671932:0.082569:0.671932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 con vértice fuera del :@0.082569:0.701345:0.259376:0.701345:0.259376:0.687061:0.082569:0.687061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.255698:0.701345:0.259362:0.701345:0.259362:0.687061:0.255698:0.687061:0.000000 origen es::@0.082569:0.716474:0.145032:0.716474:0.145032:0.702190:0.082569:0.702190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Horizontal: :@0.082569:0.740541:0.156349:0.740541:0.156349:0.726257:0.082569:0.726257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) ±4 ( ):@0.082569:0.755670:0.214279:0.755658:0.214279:0.741374:0.082569:0.741386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.086485:0.755670:0.093279:0.755670:0.093279:0.741638:0.086485:0.741638:0.000000 2:@0.095906:0.755166:0.109845:0.755166:0.109845:0.742697:0.095906:0.742697:0.000000 k:@0.112456:0.755670:0.119333:0.755670:0.119333:0.741638:0.112456:0.741638:0.000000 2:@0.122725:0.750145:0.127486:0.750145:0.127486:0.741817:0.122725:0.741817:0.000000 5:@0.130326:0.755153:0.144265:0.755153:0.144265:0.742685:0.130326:0.742685:0.000000 p x:@0.163961:0.755658:0.182552:0.755658:0.182552:0.741626:0.163961:0.741626:0.000000:0.000000:0.000000 2:@0.185179:0.755153:0.199118:0.755153:0.199118:0.742685:0.185179:0.742685:0.000000 h:@0.201729:0.755658:0.210364:0.755658:0.210364:0.741626:0.201729:0.741626:0.000000 Vertical: :@0.082584:0.779725:0.141085:0.779725:0.141085:0.765441:0.082584:0.765441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) ±4 ( ):@0.082584:0.794854:0.223127:0.794849:0.223127:0.780565:0.082584:0.780570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.086951:0.794854:0.093729:0.794854:0.093729:0.780822:0.086951:0.780822:0.000000 2:@0.097259:0.794350:0.111199:0.794350:0.111199:0.781881:0.097259:0.781881:0.000000 h:@0.114713:0.794854:0.123348:0.794854:0.123348:0.780822:0.114713:0.780822:0.000000 2:@0.127628:0.789337:0.132389:0.789337:0.132389:0.781009:0.127628:0.781009:0.000000 5:@0.135944:0.794345:0.149883:0.794345:0.149883:0.781876:0.135944:0.781876:0.000000 p y:@0.171386:0.794849:0.190898:0.794849:0.190898:0.780817:0.171386:0.780817:0.000000:0.000000:0.000000 2:@0.194429:0.794345:0.208368:0.794345:0.208368:0.781876:0.194429:0.781876:0.000000 k:@0.211882:0.794849:0.218760:0.794849:0.218760:0.780817:0.211882:0.780817:0.000000 Competencia :@0.078581:0.144831:0.187141:0.144831:0.187141:0.127884:0.078581:0.127884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.078581:0.161472:0.176057:0.161472:0.176057:0.144526:0.078581:0.144526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y como el discriminante de esta ecuación es positivo, es decir (:@0.293660:0.136836:0.800244:0.136836:0.800244:0.121124:0.293660:0.121124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d:@0.760743:0.136836:0.770001:0.136836:0.770001:0.121401:0.760743:0.121401:0.000000 5 2:@0.775008:0.136281:0.815670:0.136281:0.815670:0.122566:0.775008:0.122566:0.000000:0.000000:0.000000 y:@0.815762:0.136836:0.823235:0.136836:0.823235:0.121401:0.815762:0.121401:0.000000 0:@0.823295:0.140009:0.828532:0.140009:0.828532:0.130848:0.823295:0.130848:0.000000 ) 4:@0.828582:0.136836:0.873102:0.136836:0.873102:0.121124:0.828582:0.121124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.833542:0.130772:0.838778:0.130772:0.838778:0.121612:0.833542:0.121612:0.000000 2:@0.843761:0.136281:0.859094:0.136281:0.859094:0.122566:0.843761:0.122566:0.000000 cx:@0.873194:0.136836:0.888380:0.136836:0.888380:0.121401:0.873194:0.121401:0.000000:0.000000 0:@0.888437:0.140009:0.893674:0.140009:0.893674:0.130848:0.888437:0.130848:0.000000 > 0, :@0.893723:0.136836:0.930943:0.136836:0.930943:0.121124:0.893723:0.121124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 pues, por hipótesis, el punto ( , ) ( , ) y si > 0, > 4:@0.293665:0.153478:0.724450:0.153478:0.724450:0.137765:0.293665:0.137765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.504852:0.153478:0.532091:0.153478:0.532091:0.138043:0.504852:0.138043:0.000000:0.000000:0.000000 0:@0.512231:0.156650:0.517468:0.156650:0.517468:0.147490:0.512231:0.147490:0.000000 0:@0.532014:0.156650:0.537251:0.156650:0.537251:0.147490:0.532014:0.147490:0.000000 [:@0.545532:0.153188:0.560168:0.153188:0.560168:0.139778:0.545532:0.139778:0.000000 c:@0.594251:0.153478:0.601908:0.153478:0.601908:0.138043:0.594251:0.138043:0.000000 x:@0.635796:0.153478:0.643251:0.153478:0.643251:0.138043:0.635796:0.138043:0.000000 0:@0.643187:0.156650:0.648424:0.156650:0.648424:0.147490:0.643187:0.147490:0.000000 y:@0.681893:0.153478:0.689366:0.153478:0.689366:0.138043:0.681893:0.138043:0.000000 0:@0.689294:0.156650:0.694531:0.156650:0.694531:0.147490:0.689294:0.147490:0.000000 2:@0.692331:0.147417:0.697568:0.147417:0.697568:0.138257:0.692331:0.138257:0.000000 cx:@0.724376:0.153478:0.739415:0.153478:0.739415:0.138043:0.724376:0.138043:0.000000:0.000000 0:@0.739352:0.156650:0.744588:0.156650:0.744588:0.147490:0.739352:0.147490:0.000000 . Las raíces de la ecuación :@0.744537:0.153478:0.930802:0.153478:0.930802:0.137765:0.744537:0.137765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de segundo grado son: :@0.293652:0.170120:0.465679:0.170120:0.465679:0.154407:0.293652:0.154407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.534768:0.203172:0.542242:0.203172:0.542242:0.187736:0.534768:0.187736:0.000000 ₀ 4 ₀:@0.542242:0.203172:0.596859:0.203172:0.596859:0.187459:0.542242:0.187459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.551979:0.202619:0.567059:0.202619:0.567059:0.188894:0.551979:0.188894:0.000000 cx:@0.576041:0.203172:0.591153:0.203172:0.591153:0.187736:0.576041:0.187736:0.000000:0.000000 2 ₀:@0.528587:0.217927:0.550731:0.217927:0.550731:0.202215:0.528587:0.202215:0.000000:0.000000:0.000000 x:@0.537570:0.217927:0.545025:0.217927:0.545025:0.202492:0.537570:0.202492:0.000000  :@0.543656:0.202420:0.552798:0.202420:0.552798:0.186697:0.543656:0.186697:0.000000:0.000000 y:@0.486162:0.203290:0.493635:0.203290:0.493635:0.187855:0.486162:0.187855:0.000000 ₀ :@0.493635:0.203290:0.503372:0.203290:0.503372:0.187577:0.493635:0.187577:0.000000:0.000000 2:@0.503371:0.202735:0.518704:0.202735:0.518704:0.189020:0.503371:0.189020:0.000000 m:@0.441664:0.211927:0.456280:0.211927:0.456280:0.196492:0.441664:0.196492:0.000000 ₁ :@0.456280:0.211927:0.464177:0.211927:0.464177:0.196215:0.456280:0.196215:0.000000:0.000000 5:@0.464177:0.211373:0.479510:0.211373:0.479510:0.197657:0.464177:0.197657:0.000000 , ₂ :@0.599222:0.210959:0.642436:0.212352:0.642436:0.196640:0.599222:0.195247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.711629:0.203598:0.719102:0.203598:0.719102:0.188162:0.711629:0.188162:0.000000 ₀ 4 ₀:@0.719102:0.203598:0.773720:0.203598:0.773720:0.187885:0.719102:0.187885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.728839:0.203045:0.743919:0.203045:0.743919:0.189320:0.728839:0.189320:0.000000 cx:@0.752901:0.203598:0.768013:0.203598:0.768013:0.188162:0.752901:0.188162:0.000000:0.000000 2 ₀:@0.705447:0.218353:0.727591:0.218353:0.727591:0.202641:0.705447:0.202641:0.000000:0.000000:0.000000 x:@0.714430:0.218353:0.721885:0.218353:0.721885:0.202918:0.714430:0.202918:0.000000  :@0.720516:0.202846:0.729658:0.202846:0.729658:0.187123:0.720516:0.187123:0.000000:0.000000 y:@0.663022:0.203716:0.670495:0.203716:0.670495:0.188281:0.663022:0.188281:0.000000 ₀ :@0.670495:0.203716:0.680233:0.203716:0.680233:0.188004:0.670495:0.188004:0.000000:0.000000 1:@0.680231:0.203161:0.695564:0.203161:0.695564:0.189446:0.680231:0.189446:0.000000 m:@0.618525:0.212352:0.633140:0.212352:0.633140:0.196917:0.618525:0.196917:0.000000 5:@0.642436:0.211798:0.657769:0.211798:0.657769:0.198082:0.642436:0.198082:0.000000 .:@0.776082:0.210959:0.779285:0.210959:0.779285:0.195247:0.776082:0.195247:0.000000 Debemos probar que las rectas , de las siguientes ecuaciones cartesianas que se :@0.293665:0.245463:0.930939:0.245471:0.930939:0.229758:0.293665:0.229751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 L L:@0.533088:0.245463:0.561976:0.245471:0.561976:0.230036:0.533088:0.230028:0.000000:0.000000:0.000000 1:@0.540781:0.248643:0.546018:0.248643:0.546018:0.239483:0.540781:0.239483:0.000000 2:@0.562051:0.248643:0.567288:0.248643:0.567288:0.239483:0.562051:0.239483:0.000000 definen a continuación::@0.293662:0.262113:0.465052:0.262113:0.465052:0.246400:0.293662:0.246400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 L x y:@0.293662:0.296617:0.340200:0.296623:0.340200:0.281188:0.293662:0.281181:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.301214:0.299795:0.306451:0.299795:0.306451:0.290635:0.301214:0.290635:0.000000 : ( , ) tal que :@0.306405:0.296623:0.510148:0.296623:0.510148:0.280910:0.306405:0.280910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 [:@0.348890:0.296333:0.363527:0.296333:0.363527:0.282923:0.348890:0.282923:0.000000 R:@0.367396:0.295763:0.380686:0.295763:0.380686:0.282866:0.367396:0.282866:0.000000 2:@0.380588:0.290559:0.385824:0.290559:0.385824:0.281399:0.380588:0.281399:0.000000 y:@0.443778:0.296623:0.451251:0.296623:0.451251:0.281188:0.443778:0.281188:0.000000 2:@0.455135:0.296068:0.470468:0.296068:0.470468:0.282353:0.455135:0.282353:0.000000 y:@0.474334:0.296623:0.481807:0.296623:0.481807:0.281188:0.474334:0.281188:0.000000 0:@0.481727:0.299795:0.486964:0.299795:0.486964:0.290635:0.481727:0.290635:0.000000 5:@0.490875:0.296068:0.506209:0.296068:0.506209:0.282353:0.490875:0.282353:0.000000 m x:@0.510074:0.296623:0.542058:0.296623:0.542058:0.281188:0.510074:0.281188:0.000000:0.000000:0.000000 1:@0.524609:0.299795:0.529846:0.299795:0.529846:0.290635:0.524609:0.290635:0.000000 ( ), :@0.529798:0.296623:0.589744:0.296623:0.589744:0.280910:0.529798:0.280910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.545942:0.296068:0.561275:0.296068:0.561275:0.282353:0.545942:0.282353:0.000000 x:@0.565140:0.296623:0.572595:0.296623:0.572595:0.281188:0.565140:0.281188:0.000000 0:@0.572517:0.299795:0.577753:0.299795:0.577753:0.290635:0.572517:0.290635:0.000000 L x y:@0.293663:0.331127:0.340200:0.331133:0.340200:0.315698:0.293663:0.315692:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.301214:0.334306:0.306451:0.334306:0.306451:0.325145:0.301214:0.325145:0.000000 : ( , ) tal que :@0.306405:0.331133:0.510148:0.331133:0.510148:0.315421:0.306405:0.315421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 [:@0.348890:0.330843:0.363527:0.330843:0.363527:0.317434:0.348890:0.317434:0.000000 R:@0.367396:0.330274:0.380686:0.330274:0.380686:0.317376:0.367396:0.317376:0.000000 2:@0.380588:0.325069:0.385824:0.325069:0.385824:0.315909:0.380588:0.315909:0.000000 y:@0.443778:0.331133:0.451251:0.331133:0.451251:0.315698:0.443778:0.315698:0.000000 2:@0.455135:0.330579:0.470468:0.330579:0.470468:0.316863:0.455135:0.316863:0.000000 y:@0.474334:0.331133:0.481807:0.331133:0.481807:0.315698:0.474334:0.315698:0.000000 0:@0.481727:0.334306:0.486964:0.334306:0.486964:0.325145:0.481727:0.325145:0.000000 5:@0.490875:0.330579:0.506209:0.330579:0.506209:0.316863:0.490875:0.316863:0.000000 m x:@0.510074:0.331133:0.542058:0.331133:0.542058:0.315698:0.510074:0.315698:0.000000:0.000000:0.000000 2:@0.524609:0.334306:0.529846:0.334306:0.529846:0.325145:0.524609:0.325145:0.000000 ( ), :@0.529798:0.331133:0.589744:0.331133:0.589744:0.315421:0.529798:0.315421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.545942:0.330579:0.561275:0.330579:0.561275:0.316863:0.545942:0.316863:0.000000 x:@0.565140:0.331133:0.572595:0.331133:0.572595:0.315698:0.565140:0.315698:0.000000 0:@0.572517:0.334306:0.577753:0.334306:0.577753:0.325145:0.572517:0.325145:0.000000 son tangentes a la parábola ( , ). Para el efecto, debemos mostrar que el sistema de :@0.293663:0.365637:0.930990:0.365644:0.930990:0.349931:0.293663:0.349925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c:@0.534529:0.365644:0.542186:0.365644:0.542186:0.350208:0.534529:0.350208:0.000000 ecuaciones:@0.293670:0.382286:0.375785:0.382286:0.375785:0.366573:0.293670:0.366573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( , ) tal que :@0.293670:0.422517:0.424091:0.422522:0.424091:0.406810:0.293670:0.406805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.298474:0.422517:0.320397:0.422517:0.320397:0.407082:0.298474:0.407082:0.000000:0.000000:0.000000 [:@0.329074:0.422232:0.343710:0.422232:0.343710:0.408822:0.329074:0.408822:0.000000 R:@0.347580:0.421662:0.360870:0.421662:0.360870:0.408765:0.347580:0.408765:0.000000 2:@0.360770:0.416458:0.366006:0.416458:0.366006:0.407298:0.360770:0.407298:0.000000 y:@0.464178:0.415337:0.471652:0.415337:0.471652:0.399902:0.464178:0.399902:0.000000 ₀ :@0.471652:0.415337:0.481389:0.415337:0.481389:0.399625:0.471652:0.399625:0.000000:0.000000 5 :@0.481389:0.414784:0.500994:0.414784:0.500994:0.401060:0.481389:0.401060:0.000000:0.000000 m x x:@0.500993:0.415337:0.554595:0.415337:0.554595:0.399902:0.500993:0.399902:0.000000:0.000000:0.000000:0.000000:0.000000 ₁(:@0.515608:0.415337:0.524352:0.415337:0.524352:0.399625:0.515608:0.399625:0.000000:0.000000 2:@0.531806:0.414783:0.547140:0.414783:0.547140:0.401067:0.531806:0.401067:0.000000 ₀):@0.554595:0.415337:0.565179:0.415337:0.565179:0.399625:0.554595:0.399625:0.000000:0.000000 :@0.473066:0.414586:0.477030:0.414586:0.477030:0.398863:0.473066:0.398863:0.000000 y:@0.434496:0.415457:0.441969:0.415457:0.441969:0.400022:0.434496:0.400022:0.000000 :@0.441969:0.415457:0.446000:0.415457:0.446000:0.399744:0.441969:0.399744:0.000000 2:@0.446000:0.414902:0.461333:0.414902:0.461333:0.401187:0.446000:0.401187:0.000000 y:@0.432817:0.428563:0.440291:0.428563:0.440291:0.413127:0.432817:0.413127:0.000000  :@0.440291:0.428563:0.449586:0.428563:0.449586:0.412850:0.440291:0.412850:0.000000:0.000000 2 :@0.449586:0.428010:0.469192:0.428010:0.469192:0.414285:0.449586:0.414285:0.000000:0.000000 4:@0.469190:0.428563:0.478173:0.428563:0.478173:0.412850:0.469190:0.412850:0.000000 cx :@0.478173:0.428563:0.496598:0.428563:0.496598:0.413127:0.478173:0.413127:0.000000:0.000000:0.000000 5:@0.496598:0.428008:0.511932:0.428008:0.511932:0.414292:0.496598:0.414292:0.000000 0,:@0.511932:0.428563:0.524117:0.428563:0.524117:0.412850:0.511932:0.412850:0.000000:0.000000 5:@0.424976:0.428937:0.429062:0.428937:0.429062:0.401229:0.424976:0.401229:0.000000 tiene una única solución ( , ) .:@0.293660:0.457033:0.550630:0.457033:0.550630:0.441320:0.293660:0.441320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.479925:0.457033:0.501848:0.457033:0.501848:0.441597:0.479925:0.441597:0.000000:0.000000:0.000000 [:@0.510541:0.456743:0.525177:0.456743:0.525177:0.443333:0.510541:0.443333:0.000000 R:@0.529047:0.456173:0.542337:0.456173:0.542337:0.443275:0.529047:0.443275:0.000000 2:@0.542238:0.450969:0.547475:0.450969:0.547475:0.441808:0.542238:0.441808:0.000000 De la segunda ecuación, se obtiene :@0.293665:0.493437:0.589819:0.493437:0.589819:0.477724:0.293665:0.477724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.555251:0.493437:0.562706:0.493437:0.562706:0.478001:0.555251:0.478001:0.000000 5:@0.566589:0.492882:0.581923:0.492882:0.581923:0.479166:0.566589:0.479166:0.000000 y:@0.595383:0.487035:0.602857:0.487035:0.602857:0.471599:0.595383:0.471599:0.000000 :@0.602857:0.487035:0.608121:0.487035:0.608121:0.470601:0.602857:0.470601:0.000000 4:@0.591260:0.501485:0.600243:0.501485:0.600243:0.485051:0.591260:0.485051:0.000000 c:@0.600243:0.501485:0.607900:0.501485:0.607900:0.486050:0.600243:0.486050:0.000000 . Reemplazando en la primera, se tiene::@0.609483:0.493439:0.892112:0.493439:0.892112:0.477727:0.609483:0.477727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.293660:0.532790:0.301133:0.532790:0.301133:0.517354:0.293660:0.517354:0.000000 :@0.301060:0.532790:0.360037:0.532790:0.360037:0.517077:0.301060:0.517077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.305017:0.532235:0.320351:0.532235:0.320351:0.518519:0.305017:0.518519:0.000000 y:@0.324216:0.532790:0.331690:0.532790:0.331690:0.517354:0.324216:0.517354:0.000000 0:@0.331616:0.535962:0.336853:0.535962:0.336853:0.526801:0.331616:0.526801:0.000000 5:@0.340764:0.532235:0.356098:0.532235:0.356098:0.518519:0.340764:0.518519:0.000000 m:@0.359963:0.532790:0.374578:0.532790:0.374578:0.517354:0.359963:0.517354:0.000000 1:@0.374498:0.535962:0.379735:0.535962:0.379735:0.526801:0.374498:0.526801:0.000000 :@0.379687:0.532790:0.383718:0.532790:0.383718:0.517077:0.379687:0.517077:0.000000 y:@0.393431:0.523442:0.400904:0.523442:0.400904:0.508007:0.393431:0.508007:0.000000 :@0.400904:0.523442:0.406169:0.523442:0.406169:0.507009:0.400904:0.507009:0.000000 4:@0.389308:0.537893:0.398290:0.537893:0.398290:0.521459:0.389308:0.521459:0.000000 c:@0.398290:0.537893:0.405948:0.537893:0.405948:0.522458:0.398290:0.522458:0.000000 2 :@0.414874:0.531947:0.436621:0.531947:0.436621:0.516985:0.414874:0.516985:0.000000:0.000000 x:@0.436621:0.532237:0.444076:0.532237:0.444076:0.516802:0.436621:0.516802:0.000000 ₀:@0.444076:0.532237:0.449782:0.532237:0.449782:0.515804:0.444076:0.515804:0.000000 1:@0.383715:0.537234:0.387802:0.537234:0.387802:0.509526:0.383715:0.509526:0.000000 2:@0.450790:0.537234:0.454877:0.537234:0.454877:0.509526:0.450790:0.509526:0.000000 :@0.454777:0.532790:0.486418:0.532790:0.486418:0.517077:0.454777:0.517077:0.000000:0.000000:0.000000:0.000000:0.000000 m y:@0.486336:0.532790:0.513548:0.532790:0.513548:0.517354:0.486336:0.517354:0.000000:0.000000:0.000000 1:@0.500886:0.535962:0.506123:0.535962:0.506123:0.526801:0.500886:0.526801:0.000000 2:@0.513483:0.526726:0.518720:0.526726:0.518720:0.517565:0.513483:0.517565:0.000000 4 4:@0.518672:0.532790:0.598099:0.532790:0.598099:0.517077:0.518672:0.517077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.522630:0.532235:0.537963:0.532235:0.537963:0.518519:0.522630:0.518519:0.000000 cy:@0.550719:0.532790:0.566016:0.532790:0.566016:0.517354:0.550719:0.517354:0.000000:0.000000 1:@0.569918:0.532235:0.585251:0.532235:0.585251:0.518519:0.569918:0.518519:0.000000 cy:@0.598007:0.532790:0.613304:0.532790:0.613304:0.517354:0.598007:0.517354:0.000000:0.000000 0:@0.613237:0.535962:0.618474:0.535962:0.618474:0.526801:0.613237:0.526801:0.000000 4:@0.618426:0.532790:0.650565:0.532790:0.650565:0.517077:0.618426:0.517077:0.000000:0.000000:0.000000:0.000000 2:@0.622384:0.532235:0.637717:0.532235:0.637717:0.518519:0.622384:0.518519:0.000000 cx m:@0.650473:0.532790:0.685256:0.532790:0.685256:0.517354:0.650473:0.517354:0.000000:0.000000:0.000000:0.000000 0:@0.665450:0.535962:0.670687:0.535962:0.670687:0.526801:0.665450:0.526801:0.000000 1:@0.685189:0.535962:0.690426:0.535962:0.690426:0.526801:0.685189:0.526801:0.000000 0.:@0.690380:0.532790:0.725648:0.532790:0.725648:0.517077:0.690380:0.517077:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.694338:0.532235:0.709671:0.532235:0.709671:0.518519:0.694338:0.518519:0.000000 Esta última ecuación de segundo grado con incógnita tiene solución en si y solo si su :@0.293667:0.567294:0.931018:0.567294:0.931018:0.551581:0.293667:0.551581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.818310:0.566434:0.831600:0.566434:0.831600:0.553536:0.818310:0.553536:0.000000 discriminante es no negativo, es decir, :@0.293667:0.583935:0.572481:0.583935:0.572481:0.568223:0.293667:0.568223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d:@0.293667:0.618440:0.302926:0.618440:0.302926:0.603004:0.293667:0.603004:0.000000 16 4:@0.302852:0.618440:0.388719:0.618452:0.388719:0.602739:0.302852:0.602727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.306810:0.617885:0.322143:0.617885:0.322143:0.604169:0.306810:0.604169:0.000000 c:@0.343808:0.618440:0.351466:0.618440:0.351466:0.603004:0.343808:0.603004:0.000000 2:@0.351390:0.612388:0.356627:0.612388:0.356627:0.603228:0.351390:0.603228:0.000000 2:@0.360537:0.617897:0.375870:0.617897:0.375870:0.604182:0.360537:0.604182:0.000000 m:@0.388626:0.618452:0.403242:0.618452:0.403242:0.603017:0.388626:0.603017:0.000000 1:@0.403173:0.621625:0.408410:0.621625:0.408410:0.612464:0.403173:0.612464:0.000000 (4:@0.408362:0.618452:0.422149:0.618452:0.422149:0.602739:0.408362:0.602739:0.000000:0.000000 cy:@0.422057:0.618452:0.437354:0.618452:0.437354:0.603017:0.422057:0.603017:0.000000:0.000000 0:@0.437300:0.621625:0.442537:0.621625:0.442537:0.612464:0.437300:0.612464:0.000000 4:@0.442489:0.618452:0.474629:0.618452:0.474629:0.602739:0.442489:0.602739:0.000000:0.000000:0.000000:0.000000 2:@0.446447:0.617897:0.461780:0.617897:0.461780:0.604182:0.446447:0.604182:0.000000 cx m:@0.474536:0.618452:0.509320:0.618452:0.509320:0.603017:0.474536:0.603017:0.000000:0.000000:0.000000:0.000000 0:@0.489515:0.621625:0.494752:0.621625:0.494752:0.612464:0.489515:0.612464:0.000000 1:@0.509253:0.621625:0.514489:0.621625:0.514489:0.612464:0.509253:0.612464:0.000000 ) 16 (:@0.514443:0.618452:0.572647:0.618452:0.572647:0.602739:0.514443:0.602739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.523187:0.617897:0.538520:0.617897:0.538520:0.604182:0.523187:0.604182:0.000000 c x m:@0.560185:0.618452:0.599769:0.618452:0.599769:0.603017:0.560185:0.603017:0.000000:0.000000:0.000000:0.000000:0.000000 0:@0.579965:0.621625:0.585202:0.621625:0.585202:0.612464:0.579965:0.612464:0.000000 1:@0.599702:0.621625:0.604939:0.621625:0.604939:0.612464:0.599702:0.612464:0.000000 2:@0.602750:0.612391:0.607987:0.612391:0.607987:0.603231:0.602750:0.603231:0.000000 :@0.607937:0.618452:0.631167:0.618452:0.631167:0.602739:0.607937:0.602739:0.000000:0.000000:0.000000 2:@0.611895:0.617897:0.627228:0.617897:0.627228:0.604182:0.611895:0.604182:0.000000 m y:@0.631094:0.618452:0.658291:0.618452:0.658291:0.603017:0.631094:0.603017:0.000000:0.000000:0.000000 1 0:@0.645629:0.621625:0.663463:0.621625:0.663463:0.612464:0.645629:0.612464:0.000000:0.000000:0.000000 ).:@0.663415:0.618452:0.702162:0.618452:0.702162:0.602739:0.663415:0.602739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.667373:0.617897:0.682706:0.617897:0.682706:0.604182:0.667373:0.604182:0.000000 c:@0.686571:0.618452:0.694229:0.618452:0.694229:0.603017:0.686571:0.603017:0.000000 Pero :@0.293668:0.652956:0.331149:0.652956:0.331149:0.637244:0.293668:0.637244:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.332673:0.652956:0.347289:0.652956:0.347289:0.637521:0.332673:0.637521:0.000000 1:@0.347423:0.656136:0.352660:0.656136:0.352660:0.646976:0.347423:0.646976:0.000000 es solución de la segunda ecuación :@0.352767:0.652964:0.635227:0.652964:0.635227:0.637251:0.352767:0.637251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x m:@0.636810:0.652964:0.664376:0.652964:0.664376:0.637528:0.636810:0.637528:0.000000:0.000000:0.000000 0:@0.644415:0.656136:0.649652:0.656136:0.649652:0.646976:0.644415:0.646976:0.000000 2:@0.664528:0.646900:0.669765:0.646900:0.669765:0.637739:0.664528:0.637739:0.000000 :@0.669873:0.652964:0.694980:0.652964:0.694980:0.637251:0.669873:0.637251:0.000000:0.000000:0.000000 2:@0.675413:0.652409:0.690746:0.652409:0.690746:0.638693:0.675413:0.638693:0.000000 my:@0.696489:0.652964:0.718725:0.652964:0.718725:0.637528:0.696489:0.637528:0.000000:0.000000 0:@0.718903:0.656136:0.724140:0.656136:0.724140:0.646976:0.718903:0.646976:0.000000 0, entonces 0. :@0.724248:0.652964:0.930871:0.652964:0.930871:0.637251:0.724248:0.637251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.729788:0.652409:0.745121:0.652409:0.745121:0.638693:0.729788:0.638693:0.000000 c:@0.750865:0.652964:0.758522:0.652964:0.758522:0.637528:0.750865:0.637528:0.000000 5:@0.764210:0.652409:0.779543:0.652409:0.779543:0.638693:0.764210:0.638693:0.000000 d:@0.878445:0.652964:0.887704:0.652964:0.887704:0.637528:0.878445:0.637528:0.000000 5:@0.893392:0.652409:0.908725:0.652409:0.908725:0.638693:0.893392:0.638693:0.000000 Consecuentemente,:@0.293592:0.669606:0.440896:0.669606:0.440896:0.653893:0.293592:0.653893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.549508:0.708672:0.556981:0.708672:0.556981:0.693237:0.549508:0.693237:0.000000 :@0.556907:0.708672:0.580137:0.708672:0.580137:0.692960:0.556907:0.692960:0.000000:0.000000:0.000000 5:@0.560865:0.708118:0.576198:0.708118:0.576198:0.694402:0.560865:0.694402:0.000000 4:@0.585780:0.699875:0.594763:0.699875:0.594763:0.684162:0.585780:0.684162:0.000000 c:@0.594763:0.699875:0.602420:0.699875:0.602420:0.684440:0.594763:0.684440:0.000000 2 ₁:@0.581657:0.712523:0.609120:0.712523:0.609120:0.696810:0.581657:0.696810:0.000000:0.000000:0.000000 m:@0.590639:0.712523:0.605255:0.712523:0.605255:0.697087:0.590639:0.697087:0.000000 2 ₁ .:@0.608416:0.708671:0.671000:0.708671:0.671000:0.692958:0.608416:0.692958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.612367:0.708116:0.627700:0.708116:0.627700:0.694401:0.612367:0.694401:0.000000 c:@0.654024:0.700016:0.661681:0.700016:0.661681:0.684581:0.654024:0.684581:0.000000 m:@0.649901:0.710819:0.664516:0.710819:0.664516:0.695384:0.649901:0.695384:0.000000 Luego, :@0.293658:0.748494:0.377043:0.748494:0.377043:0.732782:0.293658:0.732782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.346432:0.748494:0.353887:0.748494:0.353887:0.733059:0.346432:0.733059:0.000000 5:@0.357771:0.747940:0.373104:0.747940:0.373104:0.734224:0.357771:0.734224:0.000000 y:@0.382631:0.739898:0.390104:0.739898:0.390104:0.724463:0.382631:0.724463:0.000000 :@0.390104:0.739898:0.395369:0.739898:0.395369:0.724186:0.390104:0.724186:0.000000 4:@0.378452:0.754876:0.387435:0.754876:0.387435:0.739163:0.378452:0.739163:0.000000 c:@0.387435:0.754876:0.395092:0.754876:0.395092:0.739441:0.387435:0.739441:0.000000 1:@0.424221:0.741817:0.433204:0.741817:0.433204:0.726105:0.424221:0.726105:0.000000 4:@0.420319:0.754881:0.429302:0.754881:0.429302:0.739168:0.420319:0.739168:0.000000 c:@0.429302:0.754881:0.436959:0.754881:0.436959:0.739446:0.429302:0.739446:0.000000 5:@0.398715:0.748957:0.415443:0.748957:0.415443:0.733994:0.398715:0.733994:0.000000 2:@0.448479:0.748755:0.457461:0.748755:0.457461:0.733043:0.448479:0.733043:0.000000 :@0.490993:0.738925:0.496257:0.738925:0.496257:0.723213:0.490993:0.723213:0.000000 3:@0.443294:0.754709:0.447381:0.754709:0.447381:0.725481:0.443294:0.725481:0.000000 4:@0.486349:0.754709:0.490435:0.754709:0.490435:0.725481:0.486349:0.725481:0.000000 c:@0.469377:0.741679:0.477035:0.741679:0.477035:0.726243:0.469377:0.726243:0.000000 m:@0.464699:0.754062:0.479314:0.754062:0.479314:0.738626:0.464699:0.738626:0.000000 ₁:@0.479314:0.754062:0.483180:0.754062:0.483180:0.738349:0.479314:0.738349:0.000000 5:@0.499679:0.748946:0.516406:0.748946:0.516406:0.733983:0.499679:0.733983:0.000000 c:@0.530759:0.741677:0.538416:0.741677:0.538416:0.726242:0.530759:0.726242:0.000000 m:@0.522549:0.757043:0.537165:0.757043:0.537165:0.741608:0.522549:0.741608:0.000000 ₁²:@0.537165:0.757043:0.546295:0.757043:0.546295:0.741331:0.537165:0.741331:0.000000:0.000000 . El punto de tangencia es :@0.548428:0.748494:0.743521:0.748494:0.743521:0.732782:0.548428:0.732782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.445321:0.780908:0.454304:0.780908:0.454304:0.765195:0.445321:0.765195:0.000000 m:@0.441408:0.793969:0.456024:0.793969:0.456024:0.778534:0.441408:0.778534:0.000000 ₁:@0.456024:0.793969:0.459889:0.793969:0.459889:0.778257:0.456024:0.778257:0.000000 2:@0.342998:0.787440:0.351981:0.787440:0.351981:0.771727:0.342998:0.771727:0.000000 ,:@0.332230:0.785207:0.335433:0.785207:0.335433:0.769494:0.332230:0.769494:0.000000 2 . En forma similar se procede con :@0.472604:0.787038:0.733092:0.787790:0.733092:0.772078:0.472604:0.771325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ,:@0.461835:0.784805:0.465038:0.784805:0.465038:0.769092:0.461835:0.769092:0.000000 1:@0.296932:0.794949:0.301018:0.794949:0.301018:0.765721:0.296932:0.765721:0.000000 1:@0.433992:0.794949:0.438078:0.794949:0.438078:0.765721:0.433992:0.765721:0.000000 2:@0.483728:0.794949:0.487815:0.794949:0.487815:0.765721:0.483728:0.765721:0.000000 2:@0.379378:0.793915:0.383464:0.793915:0.383464:0.764687:0.379378:0.764687:0.000000 c:@0.363897:0.780362:0.371555:0.780362:0.371555:0.764927:0.363897:0.764927:0.000000 m:@0.359220:0.792746:0.373835:0.792746:0.373835:0.777311:0.359220:0.777311:0.000000 ₁:@0.373835:0.792746:0.377701:0.792746:0.377701:0.777034:0.373835:0.777034:0.000000 c:@0.416679:0.780362:0.424337:0.780362:0.424337:0.764927:0.416679:0.764927:0.000000 m:@0.412000:0.792746:0.426616:0.792746:0.426616:0.777311:0.412000:0.777311:0.000000 ₁:@0.426616:0.792746:0.430481:0.792746:0.430481:0.777034:0.426616:0.777034:0.000000 5:@0.387858:0.787149:0.404586:0.787149:0.404586:0.772186:0.387858:0.772186:0.000000 c:@0.312718:0.780223:0.320376:0.780223:0.320376:0.764788:0.312718:0.764788:0.000000 m:@0.304509:0.795589:0.319124:0.795589:0.319124:0.780154:0.304509:0.780154:0.000000 ₁²:@0.319124:0.795589:0.328254:0.795589:0.328254:0.779877:0.319124:0.779877:0.000000:0.000000 m:@0.732807:0.787790:0.747422:0.787790:0.747422:0.772355:0.732807:0.772355:0.000000 2:@0.747350:0.790963:0.752587:0.790963:0.752587:0.781802:0.747350:0.781802:0.000000 .:@0.752541:0.787790:0.755744:0.787790:0.755744:0.772078:0.752541:0.772078:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000