﻿181:@0.942817:0.963886:0.974741:0.963886:0.974741:0.945448:0.942817:0.945448:0.000000:0.000000:0.000000
Ejemplos:@0.095800:0.131225:0.159794:0.131225:0.159794:0.116112:0.095800:0.116112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.095800:0.155264:0.111316:0.155264:0.111316:0.138128:0.095800:0.138128:0.000000:0.000000
  Resolver la ecuación 3 2 – 5  + 12 = 0.:@0.111316:0.155264:0.404298:0.155264:0.404298:0.139594:0.111316:0.139594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.286214:0.155264:0.296994:0.155264:0.296994:0.138903:0.286214:0.138903:0.000000:0.000000
x:@0.328542:0.155264:0.336005:0.155264:0.336005:0.138903:0.328542:0.138903:0.000000
 :@0.095800:0.178983:0.099836:0.178983:0.099836:0.163313:0.095800:0.163313:0.000000
Encontrar el vértice de la parábola ( ,  ).:@0.124290:0.178983:0.415521:0.178983:0.415521:0.163313:0.124290:0.163313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h k:@0.383106:0.178983:0.407431:0.178983:0.407431:0.162622:0.383106:0.162622:0.000000:0.000000:0.000000
 :@0.095800:0.228579:0.099836:0.228579:0.099836:0.212909:0.095800:0.212909:0.000000
=−:@0.139527:0.215426:0.163409:0.215426:0.163409:0.199853:0.139527:0.199853:0.000000:0.000000
=−:@0.205442:0.215426:0.229324:0.215426:0.229324:0.199853:0.205442:0.199853:0.000000:0.000000
−:@0.232881:0.206464:0.242998:0.206464:0.242998:0.190891:0.232881:0.190891:0.000000
=:@0.271358:0.215426:0.281475:0.215426:0.281475:0.199853:0.271358:0.199853:0.000000
h:@0.127291:0.214748:0.136799:0.214748:0.136799:0.198387:0.127291:0.198387:0.000000
b:@0.171147:0.205790:0.180416:0.205790:0.180416:0.189429:0.171147:0.189429:0.000000
a:@0.175754:0.225235:0.185023:0.225235:0.185023:0.208874:0.175754:0.208874:0.000000
h:@0.193186:0.214738:0.202695:0.214738:0.202695:0.198377:0.193186:0.198377:0.000000
h:@0.259102:0.214738:0.268610:0.214738:0.268610:0.198377:0.259102:0.198377:0.000000
2:@0.166595:0.225235:0.175588:0.225235:0.175588:0.209566:0.166595:0.209566:0.000000
;:@0.188266:0.214748:0.191472:0.214748:0.191472:0.199079:0.188266:0.199079:0.000000
5:@0.242812:0.205786:0.251804:0.205786:0.251804:0.190116:0.242812:0.190116:0.000000
6:@0.237424:0.225238:0.246417:0.225238:0.246417:0.209568:0.237424:0.209568:0.000000
;:@0.254177:0.214748:0.257383:0.214748:0.257383:0.199079:0.254177:0.199079:0.000000
5:@0.286793:0.205786:0.295786:0.205786:0.295786:0.190116:0.286793:0.190116:0.000000
6:@0.286581:0.225238:0.295573:0.225238:0.295573:0.209568:0.286581:0.209568:0.000000
     :@0.300192:0.228579:0.320370:0.228579:0.320370:0.212909:0.300192:0.212909:0.000000:0.000000:0.000000:0.000000:0.000000
k f:@0.321051:0.213981:0.350589:0.213981:0.355809:0.198312:0.326271:0.198312:0.000000:0.000000:0.000000
=:@0.335134:0.214659:0.345251:0.214659:0.345251:0.199086:0.335134:0.199086:0.000000
( ) 3:@0.356440:0.213981:0.404069:0.213981:0.404069:0.198312:0.356440:0.198312:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.364180:0.205531:0.373172:0.205531:0.373172:0.189861:0.364180:0.189861:0.000000
6:@0.363977:0.224866:0.372970:0.224866:0.372970:0.209196:0.363977:0.209196:0.000000
=:@0.382508:0.214659:0.392625:0.214659:0.392625:0.199086:0.382508:0.199086:0.000000
5:@0.413614:0.205531:0.422607:0.205531:0.422607:0.189861:0.413614:0.189861:0.000000
6:@0.413411:0.224866:0.422404:0.224866:0.422404:0.209196:0.413411:0.209196:0.000000
2:@0.431564:0.195868:0.436776:0.195868:0.436776:0.186787:0.431564:0.186787:0.000000
5:@0.452138:0.213981:0.461131:0.213981:0.461131:0.198312:0.452138:0.198312:0.000000
5:@0.470676:0.205531:0.479669:0.205531:0.479669:0.189861:0.470676:0.189861:0.000000
6:@0.470473:0.224866:0.479466:0.224866:0.479466:0.209196:0.470473:0.209196:0.000000
+:@0.489779:0.214659:0.499896:0.214659:0.499896:0.199086:0.489779:0.199086:0.000000
12:@0.500467:0.213981:0.518250:0.213981:0.518250:0.198312:0.500467:0.198312:0.000000:0.000000
=:@0.520664:0.214659:0.530780:0.214659:0.530780:0.199086:0.520664:0.199086:0.000000
119:@0.533545:0.205531:0.560117:0.205531:0.560117:0.189861:0.533545:0.189861:0.000000:0.000000:0.000000
12:@0.538096:0.224866:0.555879:0.224866:0.555879:0.209196:0.538096:0.209196:0.000000:0.000000
     :@0.564955:0.228579:0.585134:0.228579:0.585134:0.212909:0.564955:0.212909:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.584800:0.213556:0.592540:0.213556:0.597336:0.197195:0.589596:0.197195:0.000000
5:@0.622721:0.204992:0.631714:0.204992:0.631714:0.188603:0.622721:0.188603:0.000000
6:@0.622518:0.224520:0.631511:0.224520:0.631511:0.208131:0.622518:0.208131:0.000000
;:@0.634920:0.213553:0.638126:0.213553:0.638126:0.197164:0.634920:0.197164:0.000000
...:@0.639324:0.213553:0.648612:0.213553:0.648612:0.197164:0.639324:0.197164:0.000000:0.000000:0.000000
119:@0.650528:0.204992:0.677101:0.204992:0.677101:0.188603:0.650528:0.188603:0.000000:0.000000:0.000000
12:@0.655080:0.224520:0.672863:0.224520:0.672863:0.208131:0.655080:0.208131:0.000000:0.000000
= ⎜:@0.600424:0.214230:0.620166:0.215530:0.620166:0.199957:0.600424:0.198657:0.000000:0.000000:0.000000
⎛:@0.613083:0.204563:0.620159:0.204563:0.620159:0.188990:0.613083:0.188990:0.000000
⎝:@0.613090:0.224803:0.620166:0.224803:0.620166:0.209230:0.613090:0.209230:0.000000
⎞:@0.679466:0.204563:0.686543:0.204563:0.686543:0.188990:0.679466:0.188990:0.000000
⎠:@0.679471:0.224803:0.686548:0.224803:0.686548:0.209230:0.679471:0.209230:0.000000
⎟:@0.679471:0.215530:0.686548:0.215530:0.686548:0.199957:0.679471:0.199957:0.000000
 :@0.095800:0.252303:0.099836:0.252303:0.099836:0.236633:0.095800:0.236633:0.000000
Graficar la parábola para determinar los cortes con el eje  .:@0.124290:0.252303:0.550907:0.252303:0.550907:0.236633:0.124290:0.236633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.540237:0.252303:0.547700:0.252303:0.547700:0.235941:0.540237:0.235941:0.000000
 :@0.095800:0.408627:0.099836:0.408627:0.099836:0.392957:0.095800:0.392957:0.000000
x:@0.168111:0.280599:0.176454:0.280599:0.176454:0.265047:0.168111:0.265047:0.000000
y:@0.263097:0.280599:0.271423:0.280599:0.271423:0.265047:0.263097:0.265047:0.000000
–2:@0.164007:0.306072:0.180558:0.306072:0.180558:0.291827:0.164007:0.291827:0.000000:0.000000
34:@0.259077:0.306072:0.275427:0.306072:0.275427:0.291827:0.259077:0.291827:0.000000:0.000000
–1:@0.164007:0.329760:0.180558:0.329760:0.180558:0.315515:0.164007:0.315515:0.000000:0.000000
20:@0.259077:0.329760:0.275427:0.329760:0.275427:0.315515:0.259077:0.315515:0.000000:0.000000
0:@0.168195:0.353447:0.176370:0.353447:0.176370:0.339202:0.168195:0.339202:0.000000
12:@0.259077:0.353447:0.275427:0.353447:0.275427:0.339202:0.259077:0.339202:0.000000:0.000000
1:@0.168195:0.377135:0.176370:0.377135:0.176370:0.362890:0.168195:0.362890:0.000000
10:@0.259160:0.377135:0.275343:0.377135:0.275343:0.362890:0.259160:0.362890:0.000000:0.000000
2:@0.168195:0.400823:0.176370:0.400823:0.176370:0.386577:0.168195:0.386577:0.000000
14:@0.259160:0.400823:0.275343:0.400823:0.275343:0.386577:0.259160:0.386577:0.000000:0.000000
 :@0.095800:0.432354:0.099836:0.432354:0.099836:0.416685:0.095800:0.416685:0.000000
La parábola no corta al eje  . Entonces, la ecuación cuadrática no tiene solución :@0.124290:0.432354:0.698219:0.432354:0.698219:0.416685:0.124290:0.416685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.316067:0.432354:0.323530:0.432354:0.323530:0.415993:0.316067:0.415993:0.000000
 :@0.694128:0.432354:0.698164:0.432354:0.698164:0.416685:0.694128:0.416685:0.000000
en los números reales.:@0.124290:0.448951:0.286654:0.448951:0.286654:0.433281:0.124290:0.433281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.095801:0.472670:0.112460:0.472670:0.112460:0.455534:0.095801:0.455534:0.000000:0.000000
  Determinar las raíces de la ecuación  2 – 6  + 9 = 0. El vértice es (3, 0):@0.112459:0.472670:0.629591:0.472670:0.629591:0.457000:0.112459:0.457000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.391305:0.472670:0.402085:0.472670:0.402085:0.456308:0.391305:0.456308:0.000000:0.000000
x:@0.433633:0.472670:0.441096:0.472670:0.441096:0.456308:0.433633:0.456308:0.000000
  :@0.095801:0.628994:0.103872:0.628994:0.103872:0.613324:0.095801:0.613324:0.000000:0.000000
x:@0.168111:0.500972:0.176454:0.500972:0.176454:0.485419:0.168111:0.485419:0.000000
y:@0.263097:0.500972:0.271423:0.500972:0.271423:0.485419:0.263097:0.485419:0.000000
1:@0.168195:0.526444:0.176370:0.526444:0.176370:0.512199:0.168195:0.512199:0.000000
4:@0.263164:0.526444:0.271339:0.526444:0.271339:0.512199:0.263164:0.512199:0.000000
2:@0.168195:0.550132:0.176370:0.550132:0.176370:0.535887:0.168195:0.535887:0.000000
1:@0.263164:0.550132:0.271339:0.550132:0.271339:0.535887:0.263164:0.535887:0.000000
3:@0.168195:0.573820:0.176370:0.573820:0.176370:0.559574:0.168195:0.559574:0.000000
0:@0.263164:0.573820:0.271339:0.573820:0.271339:0.559574:0.263164:0.559574:0.000000
4:@0.168195:0.597507:0.176370:0.597507:0.176370:0.583262:0.168195:0.583262:0.000000
1:@0.263164:0.597507:0.271339:0.597507:0.271339:0.583262:0.263164:0.583262:0.000000
5:@0.168195:0.621195:0.176370:0.621195:0.176370:0.606949:0.168195:0.606949:0.000000
4:@0.263164:0.621195:0.271339:0.621195:0.271339:0.606949:0.263164:0.606949:0.000000
 :@0.095800:0.652727:0.099836:0.652727:0.099836:0.637057:0.095800:0.637057:0.000000
La solución de la ecuación es   = 3. La ecuación cuadrática tiene dos soluciones :@0.124290:0.652727:0.698162:0.652727:0.698162:0.637057:0.124290:0.637057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.337369:0.652727:0.344832:0.652727:0.344832:0.636365:0.337369:0.636365:0.000000
reales iguales.:@0.124290:0.669323:0.220943:0.669323:0.220943:0.653653:0.124290:0.653653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.095800:0.693042:0.099836:0.693042:0.099836:0.677372:0.095800:0.677372:0.000000
Dependiendo de los puntos de la parábola que cortan el eje x, se presentan :@0.124290:0.693042:0.698199:0.693042:0.698199:0.677372:0.124290:0.677372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tres casos de soluciones. :@0.124290:0.709638:0.307199:0.709638:0.307199:0.693969:0.124290:0.693969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para resolver una :@0.733044:0.175024:0.849708:0.175024:0.849708:0.160779:0.733044:0.160779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación cuadrática, :@0.733044:0.190111:0.873647:0.190111:0.873647:0.175866:0.733044:0.175866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es necesario que esté :@0.733044:0.205199:0.879791:0.205199:0.879791:0.190954:0.733044:0.190954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igualada a cero.:@0.733044:0.220287:0.836857:0.220287:0.836857:0.206041:0.733044:0.206041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Sabías que?:@0.765616:0.150514:0.867484:0.150514:0.867484:0.133613:0.765616:0.133613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuaciones completas::@0.733044:0.586667:0.892862:0.586667:0.892862:0.571302:0.733044:0.571302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.892862:0.586667:0.896530:0.586667:0.896530:0.572421:0.892862:0.572421:0.000000
son aquellas en las :@0.733044:0.601754:0.861032:0.601754:0.861032:0.587509:0.733044:0.587509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que el valor de   y   es :@0.733044:0.616842:0.887132:0.616842:0.887132:0.602597:0.733044:0.602597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b c:@0.835317:0.616842:0.865421:0.616842:0.865421:0.601968:0.835317:0.601968:0.000000:0.000000:0.000000
diferente de 0.:@0.733044:0.631930:0.828648:0.631930:0.828648:0.617684:0.733044:0.617684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuaciones incompletas: :@0.733044:0.654146:0.895123:0.654146:0.895123:0.638782:0.733044:0.638782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son aquellas en las que el :@0.733044:0.669234:0.897770:0.669234:0.897770:0.654988:0.733044:0.654988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valor de   o   es igual a 0.:@0.733044:0.684321:0.893214:0.684321:0.893214:0.670076:0.733044:0.670076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b c:@0.787188:0.684321:0.817493:0.684321:0.817493:0.669447:0.787188:0.669447:0.000000:0.000000:0.000000
¿Sabías que?:@0.765616:0.562156:0.867484:0.562156:0.867484:0.545255:0.765616:0.545255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Corta al eje   en un solo punto:@0.118574:0.740604:0.342334:0.740604:0.342334:0.725026:0.118574:0.725026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.205771:0.740604:0.214113:0.740604:0.214113:0.725052:0.205771:0.725052:0.000000
Corta al eje  en dos puntos:@0.397016:0.740604:0.600491:0.740604:0.600491:0.725026:0.397016:0.725026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.480828:0.740604:0.492253:0.740604:0.492253:0.725052:0.480828:0.725052:0.000000:0.000000
No corta al eje :@0.708141:0.740604:0.817618:0.740604:0.817618:0.725026:0.708141:0.725026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.817618:0.740604:0.825961:0.740604:0.825961:0.725052:0.817618:0.725052:0.000000
La ecuación cuadrática tiene dos :@0.103413:0.766077:0.325399:0.766077:0.325399:0.751832:0.103413:0.751832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
raíces reales iguales.:@0.103413:0.777393:0.236828:0.777393:0.236828:0.763148:0.103413:0.763148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación cuadrática tiene dos :@0.371720:0.766077:0.593706:0.766077:0.593706:0.751832:0.371720:0.751832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
raíces reales diferentes.:@0.371720:0.781165:0.524282:0.781165:0.524282:0.766920:0.371720:0.766920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación cuadrática no tiene :@0.640026:0.766077:0.855630:0.766077:0.855630:0.751832:0.640026:0.751832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solución en el conjunto de los :@0.640026:0.777393:0.844052:0.777393:0.844052:0.763148:0.640026:0.763148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales.:@0.640026:0.788709:0.744476:0.788709:0.744476:0.774463:0.640026:0.774463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.412728:0.291960:0.422538:0.291960:0.422538:0.283021:0.412728:0.283021:0.000000:0.000000
40:@0.412728:0.273410:0.422538:0.273410:0.422538:0.264471:0.412728:0.264471:0.000000:0.000000
y:@0.418216:0.266037:0.422639:0.266037:0.422639:0.257098:0.418216:0.257098:0.000000
x:@0.540438:0.352190:0.544750:0.352190:0.544750:0.343251:0.540438:0.343251:0.000000
0:@0.431189:0.352190:0.436094:0.352190:0.436094:0.343251:0.431189:0.343251:0.000000
0:@0.420615:0.343077:0.425520:0.343077:0.425520:0.334138:0.420615:0.334138:0.000000
1:@0.459645:0.354287:0.464550:0.354287:0.464550:0.345348:0.459645:0.345348:0.000000
2:@0.493488:0.354287:0.498393:0.354287:0.498393:0.345348:0.493488:0.345348:0.000000
3:@0.527331:0.354287:0.532236:0.354287:0.532236:0.345348:0.527331:0.345348:0.000000
20:@0.412728:0.310482:0.422538:0.310482:0.422538:0.301542:0.412728:0.301542:0.000000:0.000000
10:@0.412728:0.329031:0.422538:0.329031:0.422538:0.320091:0.412728:0.320091:0.000000:0.000000
-1:@0.390462:0.354504:0.398363:0.354504:0.398363:0.345564:0.390462:0.345564:0.000000:0.000000
-2:@0.357634:0.354504:0.365535:0.354504:0.365535:0.345564:0.357634:0.345564:0.000000:0.000000
3:@0.400512:0.532888:0.405417:0.532888:0.405417:0.523949:0.400512:0.523949:0.000000
4:@0.400512:0.514338:0.405417:0.514338:0.405417:0.505399:0.400512:0.505399:0.000000
y:@0.400976:0.506763:0.405399:0.506763:0.405399:0.497823:0.400976:0.497823:0.000000
x:@0.589292:0.594149:0.593604:0.594149:0.593604:0.585209:0.589292:0.585209:0.000000
0:@0.415201:0.593123:0.420106:0.593123:0.420106:0.584184:0.415201:0.584184:0.000000
0:@0.403380:0.584010:0.408285:0.584010:0.408285:0.575071:0.403380:0.575071:0.000000
1:@0.436721:0.595363:0.441626:0.595363:0.441626:0.586424:0.436721:0.586424:0.000000
2:@0.464855:0.595401:0.469760:0.595401:0.469760:0.586462:0.464855:0.586462:0.000000
3:@0.492999:0.595394:0.497904:0.595394:0.497904:0.586454:0.492999:0.586454:0.000000
2:@0.400512:0.551409:0.405417:0.551409:0.405417:0.542470:0.400512:0.542470:0.000000
1:@0.400514:0.569958:0.405419:0.569958:0.405419:0.561019:0.400514:0.561019:0.000000
4:@0.521156:0.595382:0.526061:0.595382:0.526061:0.586443:0.521156:0.586443:0.000000
5:@0.549300:0.595382:0.554205:0.595382:0.554205:0.586443:0.549300:0.586443:0.000000
6:@0.577444:0.595435:0.582349:0.595435:0.582349:0.586496:0.577444:0.586496:0.000000
-1:@0.378761:0.595431:0.386661:0.595431:0.386661:0.586492:0.378761:0.586492:0.000000:0.000000
-1:@0.398442:0.607215:0.406342:0.607215:0.406342:0.598275:0.398442:0.598275:0.000000:0.000000
3:@0.241428:0.817213:0.246971:0.817213:0.246971:0.807111:0.241428:0.807111:0.000000
y:@0.241949:0.801829:0.246947:0.801829:0.246947:0.791727:0.241949:0.791727:0.000000
x:@0.309473:0.886493:0.314345:0.886493:0.314345:0.876391:0.309473:0.876391:0.000000
0:@0.256124:0.885274:0.261667:0.885274:0.261667:0.875172:0.256124:0.875172:0.000000
0:@0.244663:0.874976:0.250206:0.874976:0.250206:0.864875:0.244663:0.864875:0.000000
1:@0.286961:0.887848:0.292504:0.887848:0.292504:0.877747:0.286961:0.877747:0.000000
2:@0.241428:0.838142:0.246971:0.838142:0.246971:0.828040:0.241428:0.828040:0.000000
1:@0.241428:0.859102:0.246971:0.859102:0.246971:0.849001:0.241428:0.849001:0.000000
-1:@0.212796:0.887946:0.221724:0.887946:0.221724:0.877845:0.212796:0.877845:0.000000:0.000000
-1:@0.239091:0.901210:0.248018:0.901210:0.248018:0.891109:0.239091:0.891109:0.000000:0.000000
-2:@0.176554:0.887956:0.185482:0.887956:0.185482:0.877855:0.176554:0.877855:0.000000:0.000000
-3:@0.140160:0.887917:0.149087:0.887917:0.149087:0.877816:0.140160:0.877816:0.000000:0.000000
A:@0.211158:0.872266:0.219760:0.872266:0.219760:0.859502:0.211158:0.859502:0.000000
3:@0.513864:0.812066:0.519112:0.812066:0.519112:0.802500:0.513864:0.802500:0.000000
y:@0.515112:0.803715:0.519844:0.803715:0.519844:0.794149:0.515112:0.794149:0.000000
x:@0.598829:0.877428:0.603443:0.877428:0.603443:0.867862:0.598829:0.867862:0.000000
0:@0.527781:0.876515:0.533029:0.876515:0.533029:0.866950:0.527781:0.866950:0.000000
0:@0.516929:0.866765:0.522178:0.866765:0.522178:0.857200:0.516929:0.857200:0.000000
1:@0.556981:0.878953:0.562229:0.878953:0.562229:0.869388:0.556981:0.869388:0.000000
2:@0.591305:0.878930:0.596554:0.878930:0.596554:0.869365:0.591305:0.869365:0.000000
2:@0.513864:0.831883:0.519112:0.831883:0.519112:0.822318:0.513864:0.822318:0.000000
1:@0.513864:0.851731:0.519112:0.851731:0.519112:0.842166:0.513864:0.842166:0.000000
-1:@0.486752:0.879043:0.495205:0.879043:0.495205:0.869478:0.486752:0.869478:0.000000:0.000000
-1:@0.511650:0.891603:0.520103:0.891603:0.520103:0.882038:0.511650:0.882038:0.000000:0.000000
-2:@0.511254:0.911371:0.519707:0.911371:0.519707:0.901806:0.511254:0.901806:0.000000:0.000000
-2:@0.452435:0.879052:0.460888:0.879052:0.460888:0.869487:0.452435:0.869487:0.000000:0.000000
-3:@0.417973:0.879016:0.426427:0.879016:0.426427:0.869450:0.417973:0.869450:0.000000:0.000000
D:@0.533600:0.865877:0.542878:0.865877:0.542878:0.853790:0.533600:0.853790:0.000000
C:@0.442526:0.865877:0.450485:0.865877:0.450485:0.853790:0.442526:0.853790:0.000000
3:@0.771809:0.836542:0.776851:0.836542:0.776851:0.827354:0.771809:0.827354:0.000000
0:@0.788195:0.913099:0.793237:0.913099:0.793237:0.903911:0.788195:0.903911:0.000000
x:@0.847137:0.915053:0.851570:0.915053:0.851570:0.905865:0.847137:0.905865:0.000000
0:@0.771809:0.904376:0.776851:0.904376:0.776851:0.895187:0.771809:0.895187:0.000000
1:@0.817382:0.915635:0.822424:0.915635:0.822424:0.906446:0.817382:0.906446:0.000000
4:@0.771742:0.812601:0.776784:0.812601:0.776784:0.803412:0.771742:0.803412:0.000000
y:@0.773235:0.801981:0.777780:0.801981:0.777780:0.792792:0.773235:0.792792:0.000000
2:@0.771630:0.860595:0.776671:0.860595:0.776671:0.851406:0.771630:0.851406:0.000000
1:@0.771360:0.884589:0.776402:0.884589:0.776402:0.875400:0.771360:0.875400:0.000000
-1:@0.741469:0.915733:0.749589:0.915733:0.749589:0.906544:0.741469:0.906544:0.000000:0.000000
-1:@0.770284:0.932521:0.778404:0.932521:0.778404:0.923332:0.770284:0.923332:0.000000:0.000000
-2:@0.704146:0.915697:0.712267:0.915697:0.712267:0.906508:0.704146:0.906508:0.000000:0.000000
Ingresa :@0.733044:0.309649:0.786568:0.309649:0.786568:0.294537:0.733044:0.294537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al siguiente :@0.786400:0.309649:0.864616:0.309649:0.864616:0.295404:0.786400:0.295404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace web: :@0.733044:0.324737:0.814827:0.324737:0.814827:0.310492:0.733044:0.310492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.814494:0.324737:0.817543:0.324737:0.817543:0.309612:0.814494:0.309612:0.000000
lynk.ec/10m16:@0.733044:0.339825:0.831196:0.339825:0.831196:0.324699:0.733044:0.324699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Practica  refuerza :@0.733044:0.362041:0.860144:0.362041:0.860144:0.346928:0.733044:0.346928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y:@0.786585:0.362041:0.797457:0.362041:0.797457:0.347796:0.786585:0.347796:0.000000:0.000000
ecuaciones cuadráticas:@0.733044:0.377129:0.884167:0.377129:0.884167:0.362883:0.733044:0.362883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.747853:0.284018:0.898755:0.284018:0.898755:0.267117:0.747853:0.267117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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