﻿161:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.201349:0.242599:0.201349:0.242599:0.185985:0.117728:0.185985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.202135:0.108221:0.202135:0.108221:0.184999:0.096132:0.184999:0.000000
2.:@0.096353:0.745929:0.110579:0.745929:0.110579:0.729028:0.096353:0.729028:0.000000:0.000000
  Hallemos la ecuación de la parábola de vértice el punto (3, 2) y foco (5, 2):@0.110579:0.745929:0.658211:0.745929:0.658211:0.729540:0.110579:0.729540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.102121:0.582330:0.154372:0.582330:0.154372:0.566752:0.102121:0.566752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Calculemos el valor de   a 30 m de una de las torres::@0.154372:0.582330:0.504041:0.582330:0.504041:0.567431:0.154372:0.567431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.311778:0.582330:0.318562:0.582330:0.318562:0.567456:0.311778:0.567456:0.000000
x:@0.102121:0.604547:0.108906:0.604547:0.108906:0.589673:0.102121:0.589673:0.000000
 = 50 – 30 = 20 m:@0.108906:0.604547:0.225704:0.604547:0.225704:0.589648:0.108906:0.589648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.102121:0.625179:0.154372:0.625179:0.154372:0.609601:0.102121:0.609601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 En la ecuación reemplazamos   = 20 para hallar el valor de  .:@0.154372:0.625179:0.559309:0.625179:0.559309:0.610280:0.154372:0.610280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.359989:0.625179:0.366774:0.625179:0.366774:0.610305:0.359989:0.610305:0.000000
y:@0.549593:0.625179:0.556394:0.625179:0.556394:0.610305:0.549593:0.610305:0.000000
20:@0.104383:0.652097:0.120487:0.652097:0.120487:0.637347:0.104383:0.637347:0.000000:0.000000
250:@0.143301:0.644211:0.167415:0.644211:0.167415:0.629461:0.143301:0.629461:0.000000:0.000000:0.000000
3:@0.151544:0.661861:0.159637:0.661861:0.159637:0.647111:0.151544:0.647111:0.000000
320:@0.226690:0.644211:0.257587:0.644211:0.257587:0.629461:0.226690:0.629461:0.000000:0.000000:0.000000
250:@0.233423:0.661861:0.257537:0.661861:0.257537:0.647111:0.233423:0.647111:0.000000:0.000000:0.000000
48 ,:@0.280922:0.652102:0.292095:0.652097:0.292095:0.637347:0.280922:0.637352:0.000000:0.000000:0.000000:0.000000
2:@0.120779:0.645202:0.125469:0.645202:0.125469:0.636654:0.120779:0.636654:0.000000
2:@0.257887:0.637316:0.262578:0.637316:0.262578:0.628768:0.257887:0.628768:0.000000
=:@0.130249:0.652707:0.139354:0.652707:0.139354:0.638691:0.130249:0.638691:0.000000
→ =:@0.182408:0.652707:0.222743:0.652707:0.222743:0.638691:0.182408:0.638691:0.000000:0.000000:0.000000
⋅:@0.236025:0.644821:0.240172:0.644821:0.240172:0.630805:0.236025:0.630805:0.000000
=:@0.268677:0.652707:0.277783:0.652707:0.277783:0.638691:0.268677:0.638691:0.000000
y:@0.171706:0.652097:0.178439:0.652097:0.178439:0.637372:0.171706:0.637372:0.000000
y:@0.202670:0.652097:0.209403:0.652097:0.209403:0.637372:0.202670:0.637372:0.000000
Paso 3.:@0.102121:0.682559:0.154372:0.682559:0.154372:0.666981:0.102121:0.666981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Al valor obtenido sumemos 10 m que es la altura a la que está el punto más bajo :@0.154372:0.682559:0.698949:0.682559:0.698949:0.667660:0.154372:0.667660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del cable.:@0.102121:0.697646:0.165326:0.697646:0.165326:0.682747:0.102121:0.682747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Altura = 4,8 + 10 = 14,8 m:@0.102121:0.719863:0.274503:0.719863:0.274503:0.704964:0.102121:0.704964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.102121:0.317287:0.154372:0.317287:0.154372:0.301709:0.102121:0.301709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Grafiquemos la situación considerando lo siguiente::@0.154372:0.317287:0.502765:0.317287:0.502765:0.302388:0.154372:0.302388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Colocamos el vértice de la parábola (punto más bajo del cable) en el origen (0,0).:@0.102121:0.339504:0.639513:0.339504:0.639513:0.324605:0.102121:0.324605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La separación entre las torres es 100 m, así que cada una está a 50 m del centro.:@0.102121:0.361720:0.630901:0.361720:0.630901:0.346821:0.102121:0.346821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La altura de las torres es 40 m, pero el punto más bajo del cable está 10 m arriba del :@0.102121:0.383937:0.662194:0.383937:0.662194:0.369038:0.102121:0.369038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puente, entonces la altura relativa al vértice es 40 −10 = 30 m.:@0.102121:0.399025:0.512500:0.399025:0.512500:0.384126:0.102121:0.384126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.102121:0.420625:0.154372:0.420625:0.154372:0.405047:0.102121:0.405047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Reemplacemos el punto (50, 30) en la ecuación cartesiana de la parábola y :@0.154372:0.420625:0.657708:0.420625:0.657708:0.405726:0.154372:0.405726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hallemos el valor de 4 .:@0.102121:0.435713:0.258505:0.435713:0.258505:0.420814:0.102121:0.420814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.247164:0.435713:0.255590:0.435713:0.255590:0.420839:0.247164:0.420839:0.000000
x:@0.105655:0.463054:0.112372:0.463054:0.112372:0.448329:0.105655:0.448329:0.000000
py:@0.144580:0.463054:0.159605:0.463054:0.159605:0.448329:0.144580:0.448329:0.000000:0.000000
p:@0.220671:0.463054:0.229013:0.463054:0.229013:0.448329:0.220671:0.448329:0.000000
p:@0.285120:0.463054:0.293462:0.463054:0.293462:0.448329:0.285120:0.448329:0.000000
2:@0.113806:0.456158:0.118497:0.456158:0.118497:0.447610:0.113806:0.447610:0.000000
2:@0.189902:0.456158:0.194592:0.456158:0.194592:0.447610:0.189902:0.447610:0.000000
4:@0.135526:0.463054:0.143619:0.463054:0.143619:0.448304:0.135526:0.448304:0.000000
50:@0.173505:0.463054:0.189609:0.463054:0.189609:0.448304:0.173505:0.448304:0.000000:0.000000
4 30):@0.211617:0.463054:0.254413:0.463054:0.254413:0.448304:0.211617:0.448304:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.276083:0.463054:0.284176:0.463054:0.284176:0.448304:0.276083:0.448304:0.000000
250:@0.309667:0.455168:0.333782:0.455168:0.333782:0.440418:0.309667:0.440418:0.000000:0.000000:0.000000
3:@0.317910:0.472818:0.326003:0.472818:0.326003:0.458068:0.317910:0.458068:0.000000
=:@0.123277:0.463664:0.132382:0.463664:0.132382:0.449648:0.123277:0.449648:0.000000
=:@0.199368:0.463664:0.208473:0.463664:0.208473:0.449648:0.199368:0.449648:0.000000
→:@0.256802:0.463664:0.273171:0.463664:0.273171:0.449648:0.256802:0.449648:0.000000
=:@0.296622:0.463664:0.305727:0.463664:0.305727:0.449648:0.296622:0.449648:0.000000
:  :@0.163047:0.463054:0.172948:0.463054:0.172948:0.448304:0.163047:0.448304:0.000000:0.000000:0.000000
(:@0.228723:0.463054:0.233118:0.463054:0.233118:0.448304:0.228723:0.448304:0.000000
Paso 3.:@0.102121:0.493516:0.154372:0.493516:0.154372:0.477938:0.102121:0.477938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sustituimos el valor de   en la ecuación:@0.154372:0.493516:0.420919:0.493516:0.420919:0.478617:0.154372:0.478617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.312263:0.493516:0.320690:0.493516:0.320690:0.478642:0.312263:0.478642:0.000000
x:@0.105655:0.520226:0.112372:0.520226:0.112372:0.505501:0.105655:0.505501:0.000000
pyx:@0.144580:0.520226:0.176406:0.520226:0.176406:0.505501:0.144580:0.505501:0.000000:0.000000:0.000000
y:@0.228781:0.520226:0.235514:0.520226:0.235514:0.505501:0.228781:0.505501:0.000000
2:@0.113806:0.513330:0.118497:0.513330:0.118497:0.504782:0.113806:0.504782:0.000000
2:@0.177839:0.513330:0.182530:0.513330:0.182530:0.504782:0.177839:0.504782:0.000000
4:@0.135526:0.520226:0.143619:0.520226:0.143619:0.505476:0.135526:0.505476:0.000000
250:@0.200358:0.512340:0.224472:0.512340:0.224472:0.497590:0.200358:0.497590:0.000000:0.000000:0.000000
3:@0.208601:0.529990:0.216694:0.529990:0.216694:0.515240:0.208601:0.515240:0.000000
=:@0.123271:0.520842:0.068342:0.520842:0.068342:0.506826:0.123271:0.506826:0.000000
=:@0.187306:0.520842:0.132376:0.520842:0.132376:0.506826:0.187306:0.506826:0.000000
; :@0.160923:0.520226:0.169696:0.520226:0.169696:0.505476:0.160923:0.505476:0.000000:0.000000
Paso 1.:@0.102121:0.767524:0.154372:0.767524:0.154372:0.751946:0.102121:0.751946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Ubicamos los puntos dados y observamos que el eje focal es horizontal, :@0.154372:0.767524:0.639411:0.767524:0.639411:0.752625:0.154372:0.752625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calculamos el valor de  .:@0.102121:0.782612:0.264670:0.782612:0.264670:0.767713:0.102121:0.767713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.253328:0.782612:0.261755:0.782612:0.261755:0.767738:0.253328:0.767738:0.000000
p:@0.102121:0.804829:0.110548:0.804829:0.110548:0.789955:0.102121:0.789955:0.000000
 = 5 – 3 = 2.:@0.110548:0.804829:0.188346:0.804829:0.188346:0.789930:0.110548:0.789930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.102121:0.826115:0.154372:0.826115:0.154372:0.810537:0.102121:0.810537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Por cuanto   > 0, la parábola se abre hacia la derecha y puesto que el vértice está :@0.154372:0.826115:0.700860:0.826115:0.700860:0.811216:0.154372:0.811216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.234145:0.826115:0.242572:0.826115:0.242572:0.811241:0.234145:0.811241:0.000000
fuera del origen, la forma de la ecuación es::@0.102121:0.841202:0.390058:0.841202:0.390058:0.826303:0.102121:0.826303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  –  )  = 4  (  –  ):@0.102121:0.863419:0.222779:0.863415:0.222779:0.848516:0.102121:0.848520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y k:@0.106561:0.863419:0.135961:0.863419:0.135961:0.848545:0.106561:0.848545:0.000000:0.000000:0.000000
2:@0.140399:0.857917:0.145165:0.857917:0.145165:0.849231:0.140399:0.849231:0.000000
p x h:@0.170663:0.863415:0.218340:0.863415:0.218340:0.848541:0.170663:0.848541:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 3.:@0.102128:0.887681:0.154379:0.887681:0.154379:0.872103:0.102128:0.872103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sustituimos las coordenadas del vértice y el valor de   en la ecuación.:@0.154379:0.887681:0.619823:0.887681:0.619823:0.872782:0.154379:0.872782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.508252:0.887681:0.516678:0.887681:0.516678:0.872807:0.508252:0.872807:0.000000
(  – 2)  = 4(2) (  – 3); (  – 2)  = 8(  – 3):@0.102128:0.909897:0.348194:0.909900:0.348194:0.895001:0.102128:0.894998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.106568:0.909897:0.113369:0.909897:0.113369:0.895024:0.106568:0.895024:0.000000
2:@0.141689:0.904402:0.146455:0.904402:0.146455:0.895716:0.141689:0.895716:0.000000
x:@0.197115:0.909900:0.203899:0.909900:0.203899:0.895026:0.197115:0.895026:0.000000
y:@0.243251:0.909900:0.250052:0.909900:0.250052:0.895026:0.243251:0.895026:0.000000
2:@0.278379:0.904402:0.283145:0.904402:0.283145:0.895716:0.278379:0.895716:0.000000
x:@0.313081:0.909900:0.319866:0.909900:0.319866:0.895026:0.313081:0.895026:0.000000
Ejemplos paso a paso:@0.096356:0.227450:0.251248:0.227450:0.251248:0.212085:0.096356:0.212085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.255051:0.110585:0.255051:0.110585:0.238150:0.096359:0.238150:0.000000:0.000000
  Resolvamos el problema inicial.:@0.110585:0.255051:0.353789:0.255051:0.353789:0.238662:0.110585:0.238662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.124848:0.275216:0.139756:0.275216:0.139756:0.258315:0.124848:0.258315:0.000000:0.000000
  Determina la ecuación cartesiana de la parábola que describe la forma del :@0.139756:0.275216:0.716558:0.275216:0.716558:0.258827:0.139756:0.258827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cable, considerando que el vértice está en el punto más bajo.:@0.153337:0.291812:0.600956:0.291812:0.600956:0.275423:0.153337:0.275423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  –  )  = 4 (  –  ): eje horizontal, se abre  (  –  )  = 4 (  –  ): eje vertical, se abre :@0.096359:0.117910:0.716568:0.117907:0.716568:0.101518:0.096359:0.101521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y k:@0.101242:0.117910:0.134099:0.117910:0.134099:0.101548:0.101242:0.101548:0.000000:0.000000:0.000000
2:@0.138990:0.111860:0.144233:0.111860:0.144233:0.102305:0.138990:0.102305:0.000000
p x h:@0.172795:0.117907:0.221720:0.117907:0.221720:0.101546:0.172795:0.101546:0.000000:0.000000:0.000000:0.000000:0.000000
hacia la derecha.:@0.096357:0.134504:0.218181:0.134504:0.218181:0.118115:0.096357:0.118115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  –  )  = –4 (  –  ): eje horizontal, se abre  (  –  )  = –4 (  –  ): eje vertical, se abre :@0.096357:0.158223:0.716570:0.158228:0.716570:0.141839:0.096357:0.141834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y k:@0.101241:0.158223:0.132254:0.158223:0.132254:0.141861:0.101241:0.141861:0.000000:0.000000:0.000000
2:@0.137148:0.152180:0.142390:0.152180:0.142390:0.142625:0.137148:0.142625:0.000000
p x h:@0.178323:0.158228:0.225406:0.158228:0.225406:0.141866:0.178323:0.141866:0.000000:0.000000:0.000000:0.000000:0.000000
hacia la izquierda.:@0.096357:0.174824:0.225902:0.174824:0.225902:0.158435:0.096357:0.158435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.419357:0.117912:0.426820:0.117912:0.426820:0.101551:0.419357:0.101551:0.000000
h:@0.448823:0.117912:0.458331:0.117912:0.458331:0.101551:0.448823:0.101551:0.000000
2:@0.463218:0.111860:0.468461:0.111860:0.468461:0.102305:0.463218:0.102305:0.000000
p y:@0.501224:0.117907:0.522858:0.117907:0.522858:0.101546:0.501224:0.101546:0.000000:0.000000:0.000000
k:@0.544861:0.117907:0.552435:0.117907:0.552435:0.101546:0.544861:0.101546:0.000000
hacia arriba.:@0.414485:0.134504:0.502291:0.134504:0.502291:0.118115:0.414485:0.118115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.419369:0.158223:0.426832:0.158223:0.426832:0.141861:0.419369:0.141861:0.000000
h:@0.446992:0.158223:0.456500:0.158223:0.456500:0.141861:0.446992:0.141861:0.000000
2:@0.461375:0.152180:0.466618:0.152180:0.466618:0.142625:0.461375:0.142625:0.000000
p y:@0.506752:0.158228:0.528387:0.158228:0.528387:0.141866:0.506752:0.141866:0.000000:0.000000:0.000000
k:@0.548546:0.158228:0.556120:0.158228:0.556120:0.141866:0.548546:0.141866:0.000000
hacia la abajo.:@0.414485:0.174824:0.517033:0.174824:0.517033:0.158435:0.414485:0.158435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si el vértice se traslada a un punto ( ,  ), las ecuaciones son::@0.096369:0.096849:0.530924:0.096849:0.530924:0.080460:0.096369:0.080460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h k:@0.354627:0.096849:0.378951:0.096849:0.378951:0.080487:0.354627:0.080487:0.000000:0.000000:0.000000
b):@0.124674:0.561118:0.140890:0.561118:0.140890:0.544218:0.124674:0.544218:0.000000:0.000000
  Calcula la altura del cable a 30 metros de una de las torres.:@0.140890:0.561118:0.578950:0.561118:0.578950:0.544729:0.140890:0.544729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–10:@0.825608:0.203614:0.832882:0.203614:0.832882:0.199568:0.825608:0.199568:0.000000:0.000000:0.000000
5:@0.830112:0.178253:0.832557:0.178253:0.832557:0.174207:0.830112:0.174207:0.000000
10:@0.827667:0.166107:0.832557:0.166107:0.832557:0.162061:0.827667:0.162061:0.000000:0.000000
15:@0.827667:0.153353:0.832557:0.153353:0.832557:0.149307:0.827667:0.149307:0.000000:0.000000
20:@0.827667:0.140363:0.832557:0.140363:0.832557:0.136317:0.827667:0.136317:0.000000:0.000000
25:@0.827667:0.127327:0.832557:0.127327:0.832557:0.123281:0.827667:0.123281:0.000000:0.000000
30:@0.827667:0.114337:0.832557:0.114337:0.832557:0.110291:0.827667:0.110291:0.000000:0.000000
35:@0.827667:0.102170:0.832557:0.102170:0.832557:0.098124:0.827667:0.098124:0.000000:0.000000
–20:@0.796898:0.193533:0.804172:0.193533:0.804172:0.189486:0.796898:0.189486:0.000000:0.000000:0.000000
–30:@0.780252:0.193533:0.787526:0.193533:0.787526:0.189486:0.780252:0.189486:0.000000:0.000000:0.000000
–40:@0.763316:0.193533:0.770590:0.193533:0.770590:0.189486:0.763316:0.189486:0.000000:0.000000:0.000000
–50:@0.745879:0.193533:0.753153:0.193533:0.753153:0.189486:0.745879:0.189486:0.000000:0.000000:0.000000
–10:@0.813815:0.193533:0.821089:0.193533:0.821089:0.189486:0.813815:0.189486:0.000000:0.000000:0.000000
10:@0.848717:0.193533:0.853607:0.193533:0.853607:0.189486:0.848717:0.189486:0.000000:0.000000
20:@0.865500:0.193533:0.870391:0.193533:0.870391:0.189486:0.865500:0.189486:0.000000:0.000000
30:@0.882484:0.193533:0.887375:0.193533:0.887375:0.189486:0.882484:0.189486:0.000000:0.000000
40:@0.899287:0.193533:0.904177:0.193533:0.904177:0.189486:0.899287:0.189486:0.000000:0.000000
50:@0.916223:0.193533:0.921114:0.193533:0.921114:0.189486:0.916223:0.189486:0.000000:0.000000
0:@0.830203:0.193533:0.832648:0.193533:0.832648:0.189486:0.830203:0.189486:0.000000
y:@0.830005:0.096882:0.831844:0.096882:0.831844:0.093367:0.830005:0.093367:0.000000
x:@0.925015:0.192970:0.926854:0.192970:0.926854:0.189455:0.925015:0.189455:0.000000
(−50, 30):@0.751195:0.112418:0.766356:0.112418:0.766356:0.108878:0.751195:0.108878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(50, 30):@0.904411:0.112418:0.917086:0.112418:0.917086:0.108878:0.904411:0.108878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2:@0.787541:0.898454:0.795716:0.898454:0.795716:0.891604:0.787541:0.891604:0.000000:0.000000
–1:@0.787541:0.887939:0.795716:0.887939:0.795716:0.881089:0.787541:0.881089:0.000000:0.000000
–4:@0.787541:0.919852:0.795716:0.919852:0.795716:0.913002:0.787541:0.913002:0.000000:0.000000
–3:@0.787541:0.909084:0.795716:0.909084:0.795716:0.902233:0.787541:0.902233:0.000000:0.000000
1:@0.791027:0.866904:0.795167:0.866904:0.795167:0.860054:0.791027:0.860054:0.000000
2:@0.791027:0.856159:0.795167:0.856159:0.795167:0.849309:0.791027:0.849309:0.000000
3:@0.791027:0.844997:0.795167:0.844997:0.795167:0.838146:0.791027:0.838146:0.000000
4:@0.791027:0.834252:0.795167:0.834252:0.795167:0.827402:0.791027:0.827402:0.000000
5:@0.791027:0.823986:0.795167:0.823986:0.795167:0.817135:0.791027:0.817135:0.000000
6:@0.791027:0.813017:0.795167:0.813017:0.795167:0.806166:0.791027:0.806166:0.000000
7:@0.791027:0.802272:0.795167:0.802272:0.795167:0.795422:0.791027:0.795422:0.000000
–2 –1 0:@0.764315:0.881192:0.795321:0.881192:0.795321:0.874342:0.764315:0.874342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3:@0.750225:0.881192:0.758400:0.881192:0.758400:0.874342:0.750225:0.874342:0.000000:0.000000
2:@0.824938:0.881192:0.829078:0.881192:0.829078:0.874342:0.824938:0.874342:0.000000
3:@0.839771:0.881192:0.843911:0.881192:0.843911:0.874342:0.839771:0.874342:0.000000
4:@0.853329:0.881192:0.857469:0.881192:0.857469:0.874342:0.853329:0.874342:0.000000
5:@0.868016:0.881192:0.872156:0.881192:0.872156:0.874342:0.868016:0.874342:0.000000
6:@0.881897:0.881192:0.886037:0.881192:0.886037:0.874342:0.881897:0.874342:0.000000
7:@0.896391:0.881192:0.900531:0.881192:0.900531:0.874342:0.896391:0.874342:0.000000
8:@0.910619:0.881192:0.914759:0.881192:0.914759:0.874342:0.910619:0.874342:0.000000
y:@0.790848:0.792465:0.793962:0.792465:0.793962:0.786514:0.790848:0.786514:0.000000
x:@0.922812:0.880241:0.925926:0.880241:0.925926:0.874290:0.922812:0.874290:0.000000
V:@0.819935:0.851455:0.823741:0.851455:0.823741:0.845504:0.819935:0.845504:0.000000
(3, 2):@0.823741:0.851455:0.837956:0.851455:0.837956:0.845461:0.823741:0.845461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.815522:0.810256:0.818636:0.810256:0.818636:0.804304:0.815522:0.804304:0.000000
 = 1 directriz:@0.818636:0.810256:0.854924:0.810256:0.854924:0.804262:0.818636:0.804262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.871631:0.851455:0.874915:0.851455:0.874915:0.845504:0.871631:0.845504:0.000000
(5, 2):@0.874915:0.851455:0.889129:0.851455:0.889129:0.845461:0.874915:0.845461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.810448:0.881205:0.814588:0.881205:0.814588:0.874355:0.810448:0.874355:0.000000
Ecuación general :@0.755006:0.298071:0.882004:0.298071:0.882004:0.282707:0.755006:0.282707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la parábola:@0.755006:0.313158:0.857831:0.313158:0.857831:0.297794:0.755006:0.297794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación general de la :@0.755006:0.331804:0.928260:0.331804:0.928260:0.316905:0.755006:0.316905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parábola se obtiene :@0.755006:0.346892:0.891170:0.346892:0.891170:0.331993:0.755006:0.331993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desarrollando la ecuación :@0.755006:0.361979:0.929665:0.361979:0.929665:0.347080:0.755006:0.347080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cartesiana e igualándola a :@0.755006:0.377067:0.931442:0.377067:0.931442:0.362168:0.755006:0.362168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cero.:@0.755006:0.392155:0.786886:0.392155:0.786886:0.377256:0.755006:0.377256:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, sea la :@0.755006:0.410800:0.882524:0.410800:0.882524:0.395901:0.755006:0.395901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación::@0.755006:0.425888:0.818883:0.425888:0.818883:0.410989:0.755006:0.410989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.763267:0.447663:0.767662:0.447663:0.767662:0.432913:0.763267:0.432913:0.000000
) 2:@0.799123:0.447663:0.799170:0.447663:0.799170:0.432913:0.799123:0.432913:0.000000:0.000000:0.000000
( 8:@0.832339:0.447663:0.832672:0.447663:0.832672:0.432913:0.832339:0.432913:0.000000:0.000000:0.000000
) 3:@0.867963:0.447663:0.868014:0.447663:0.868014:0.432913:0.867963:0.432913:0.000000:0.000000:0.000000
y:@0.769482:0.447663:0.776215:0.447663:0.776215:0.432938:0.769482:0.432938:0.000000
x:@0.838326:0.447663:0.845043:0.447663:0.845043:0.432938:0.838326:0.432938:0.000000
−:@0.779899:0.448273:0.789004:0.448273:0.789004:0.434258:0.779899:0.434258:0.000000
=:@0.812836:0.448273:0.821941:0.448273:0.821941:0.434258:0.812836:0.434258:0.000000
−:@0.848742:0.448273:0.857848:0.448273:0.857848:0.434258:0.848742:0.434258:0.000000
2:@0.803362:0.440767:0.808053:0.440767:0.808053:0.432219:0.803362:0.432219:0.000000
La desarrollamos   :@0.755006:0.472003:0.881334:0.472003:0.881334:0.457104:0.755006:0.457104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.870864:0.472003:0.877666:0.472003:0.877666:0.457129:0.870864:0.457129:0.000000
obtenemos la ecuación :@0.755006:0.487091:0.915477:0.487091:0.915477:0.472192:0.755006:0.472192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
general::@0.755006:0.502179:0.808363:0.502179:0.808363:0.487280:0.755006:0.487280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.758776:0.521735:0.765509:0.521735:0.765509:0.507010:0.758776:0.507010:0.000000
y:@0.797087:0.521735:0.803820:0.521735:0.803820:0.507010:0.797087:0.507010:0.000000
x:@0.851734:0.521735:0.858451:0.521735:0.858451:0.507010:0.851734:0.507010:0.000000
y:@0.758776:0.542074:0.765509:0.542074:0.765509:0.527348:0.758776:0.527348:0.000000
y:@0.797087:0.542074:0.803820:0.542074:0.803820:0.527348:0.797087:0.527348:0.000000
x:@0.827984:0.542074:0.834701:0.542074:0.834701:0.527348:0.827984:0.527348:0.000000
2:@0.766926:0.514839:0.771616:0.514839:0.771616:0.506290:0.766926:0.506290:0.000000
2:@0.766926:0.535172:0.771616:0.535172:0.771616:0.526624:0.766926:0.526624:0.000000
4:@0.787516:0.521735:0.795609:0.521735:0.795609:0.506985:0.787516:0.506985:0.000000
4 8:@0.819458:0.521735:0.850499:0.521735:0.850499:0.506985:0.819458:0.506985:0.000000:0.000000:0.000000
24:@0.873319:0.521735:0.889418:0.521735:0.889418:0.506985:0.873319:0.506985:0.000000:0.000000
4:@0.787520:0.542074:0.795614:0.542074:0.795614:0.527323:0.787520:0.527323:0.000000
8:@0.818667:0.542074:0.826760:0.542074:0.826760:0.527323:0.818667:0.527323:0.000000
28 0:@0.849863:0.542074:0.888904:0.542074:0.888904:0.527323:0.849863:0.527323:0.000000:0.000000:0.000000:0.000000
−:@0.775828:0.522345:0.784933:0.522345:0.784933:0.508329:0.775828:0.508329:0.000000
+ =:@0.807488:0.522345:0.839779:0.522345:0.839779:0.508329:0.807488:0.508329:0.000000:0.000000:0.000000
−:@0.862152:0.522345:0.871257:0.522345:0.871257:0.508329:0.862152:0.508329:0.000000
−:@0.775831:0.542678:0.784936:0.542678:0.784936:0.528662:0.775831:0.528662:0.000000
−:@0.807492:0.542678:0.816597:0.542678:0.816597:0.528662:0.807492:0.528662:0.000000
+:@0.838401:0.542678:0.847506:0.542678:0.847506:0.528662:0.838401:0.528662:0.000000
=:@0.869067:0.542678:0.878172:0.542678:0.878172:0.528662:0.869067:0.528662:0.000000
De igual manera, :@0.755006:0.566515:0.871636:0.566515:0.871636:0.551616:0.755006:0.551616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
podemos pasar de la :@0.755006:0.581602:0.898005:0.581602:0.898005:0.566703:0.755006:0.566703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma general a la :@0.755006:0.596690:0.878321:0.596690:0.878321:0.581791:0.755006:0.581791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ordinaria, completando el :@0.755006:0.611778:0.930454:0.611778:0.930454:0.596878:0.755006:0.596878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrado perfecto y :@0.755006:0.626865:0.893798:0.626865:0.893798:0.611966:0.755006:0.611966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agrupando.:@0.755006:0.641953:0.831900:0.641953:0.831900:0.627054:0.755006:0.627054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo::@0.755006:0.660599:0.812869:0.660599:0.812869:0.645699:0.755006:0.645699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.758539:0.680195:0.765256:0.680195:0.765256:0.665470:0.758539:0.665470:0.000000
x:@0.795573:0.680195:0.802290:0.680195:0.802290:0.665470:0.795573:0.665470:0.000000
y:@0.833171:0.680195:0.839905:0.680195:0.839905:0.665470:0.833171:0.665470:0.000000
x:@0.762967:0.700534:0.769684:0.700534:0.769684:0.685809:0.762967:0.685809:0.000000
x:@0.800002:0.700534:0.806718:0.700534:0.806718:0.685809:0.800002:0.685809:0.000000
y:@0.860254:0.700534:0.866988:0.700534:0.866988:0.685809:0.860254:0.685809:0.000000
x:@0.762967:0.720873:0.769684:0.720873:0.769684:0.706147:0.762967:0.706147:0.000000
y:@0.830717:0.720873:0.837450:0.720873:0.837450:0.706147:0.830717:0.706147:0.000000
x:@0.762967:0.741211:0.769684:0.741211:0.769684:0.726486:0.762967:0.726486:0.000000
y:@0.835145:0.741211:0.841878:0.741211:0.841878:0.726486:0.835145:0.726486:0.000000
2:@0.766691:0.673299:0.771382:0.673299:0.771382:0.664751:0.766691:0.664751:0.000000
2:@0.771122:0.693635:0.775813:0.693635:0.775813:0.685086:0.771122:0.685086:0.000000
2:@0.793498:0.713970:0.798189:0.713970:0.798189:0.705422:0.793498:0.705422:0.000000
2:@0.793498:0.734306:0.798189:0.734306:0.798189:0.725758:0.793498:0.725758:0.000000
2:@0.786762:0.680195:0.794856:0.680195:0.794856:0.665445:0.786762:0.665445:0.000000
12:@0.816117:0.680195:0.832221:0.680195:0.832221:0.665445:0.816117:0.665445:0.000000:0.000000
350:@0.854760:0.680195:0.893055:0.680195:0.893055:0.665445:0.854760:0.665445:0.000000:0.000000:0.000000
2:@0.791207:0.700534:0.799300:0.700534:0.799300:0.685784:0.791207:0.685784:0.000000
1 12:@0.820844:0.700534:0.859321:0.700534:0.859321:0.685784:0.820844:0.685784:0.000000:0.000000:0.000000:0.000000
35 1:@0.881860:0.700534:0.917971:0.700528:0.917971:0.685778:0.881860:0.685784:0.000000:0.000000:0.000000:0.000000
1):@0.783510:0.720861:0.793660:0.720886:0.793660:0.706136:0.783510:0.706111:0.000000:0.000000
12:@0.813662:0.720861:0.829766:0.720861:0.829766:0.706111:0.813662:0.706111:0.000000:0.000000
36:@0.852305:0.720861:0.868408:0.720861:0.868408:0.706111:0.852305:0.706111:0.000000:0.000000
1):@0.783510:0.741200:0.793660:0.741225:0.793660:0.726475:0.783510:0.726450:0.000000:0.000000
12(:@0.813662:0.741200:0.833331:0.741225:0.833331:0.726475:0.813662:0.726450:0.000000:0.000000:0.000000
3)):@0.856733:0.741200:0.869188:0.741225:0.869188:0.726475:0.856733:0.726450:0.000000:0.000000:0.000000
−:@0.775599:0.680806:0.784705:0.680806:0.784705:0.666790:0.775599:0.666790:0.000000
−:@0.805983:0.680806:0.815088:0.680806:0.815088:0.666790:0.805983:0.666790:0.000000
−:@0.843581:0.680806:0.852686:0.680806:0.852686:0.666790:0.843581:0.666790:0.000000
=:@0.873218:0.680806:0.882323:0.680806:0.882323:0.666790:0.873218:0.666790:0.000000
−:@0.780028:0.701144:0.789133:0.701144:0.789133:0.687129:0.780028:0.687129:0.000000
+ −:@0.810411:0.701144:0.842188:0.701144:0.842188:0.687129:0.810411:0.687129:0.000000:0.000000:0.000000
−:@0.870681:0.701144:0.879786:0.701144:0.879786:0.687129:0.870681:0.687129:0.000000
−:@0.899754:0.701144:0.908859:0.701144:0.908859:0.687129:0.899754:0.687129:0.000000
−:@0.773394:0.721483:0.782499:0.721483:0.782499:0.707468:0.773394:0.707468:0.000000
=:@0.802981:0.721483:0.812086:0.721483:0.812086:0.707468:0.802981:0.707468:0.000000
−:@0.841143:0.721483:0.850248:0.721483:0.850248:0.707468:0.841143:0.707468:0.000000
−:@0.773394:0.741822:0.782499:0.741822:0.782499:0.727807:0.773394:0.727807:0.000000
=:@0.802981:0.741822:0.812086:0.741822:0.812086:0.727807:0.802981:0.727807:0.000000
−:@0.845571:0.741822:0.854676:0.741822:0.854676:0.727807:0.845571:0.727807:0.000000
(:@0.756991:0.700547:0.761386:0.700547:0.761386:0.685797:0.756991:0.685797:0.000000
):@0.826581:0.700547:0.830976:0.700547:0.830976:0.685797:0.826581:0.685797:0.000000
(:@0.756991:0.720886:0.761386:0.720886:0.761386:0.706136:0.756991:0.706136:0.000000
(:@0.756991:0.741225:0.761386:0.741225:0.761386:0.726475:0.756991:0.726475:0.000000
     Matemática:@0.775870:0.265629:0.883411:0.265629:0.883411:0.248728:0.775870:0.248728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000