﻿219:@0.942817:0.963886:0.974741:0.963886:0.974741:0.945448:0.942817:0.945448:0.000000:0.000000:0.000000
219:@0.942817:0.963886:0.974741:0.963886:0.974741:0.945448:0.942817:0.945448:0.000000:0.000000:0.000000
7.:@0.096359:0.434909:0.111378:0.434909:0.111378:0.417773:0.096359:0.417773:0.000000:0.000000
 :@0.111378:0.434909:0.115413:0.434909:0.115413:0.419239:0.111378:0.419239:0.000000
Analiza:@0.124848:0.434909:0.183485:0.434909:0.183485:0.418009:0.124848:0.418009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cada gráfica y :@0.183485:0.434909:0.288825:0.434909:0.288825:0.419239:0.183485:0.419239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determina:@0.287811:0.434909:0.370699:0.434909:0.370699:0.418009:0.287811:0.418009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el tipo de raíces :@0.370699:0.434909:0.489796:0.434909:0.489796:0.419239:0.370699:0.419239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que tiene la función cuadrática en cada caso.:@0.124848:0.451506:0.453868:0.451506:0.453868:0.435836:0.124848:0.435836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.124848:0.486386:0.144087:0.486386:0.144087:0.469250:0.124848:0.469250:0.000000:0.000000:0.000000
x:@0.294619:0.530516:0.300725:0.530516:0.300725:0.517129:0.294619:0.517129:0.000000
y:@0.213895:0.484721:0.220017:0.484721:0.220017:0.471334:0.213895:0.471334:0.000000
2:@0.212547:0.514053:0.218269:0.514053:0.218269:0.504081:0.212547:0.504081:0.000000
4:@0.212547:0.499795:0.218269:0.499795:0.218269:0.489823:0.212547:0.489823:0.000000
2:@0.241957:0.536759:0.247680:0.536759:0.247680:0.526788:0.241957:0.526788:0.000000
–2:@0.198967:0.536759:0.210553:0.536759:0.210553:0.526788:0.198967:0.526788:0.000000:0.000000
–2:@0.205781:0.542964:0.217367:0.542964:0.217367:0.532993:0.205781:0.532993:0.000000:0.000000
–4:@0.205781:0.557521:0.217367:0.557521:0.217367:0.547550:0.205781:0.547550:0.000000:0.000000
–4:@0.182163:0.536759:0.193749:0.536759:0.193749:0.526788:0.182163:0.526788:0.000000:0.000000
4:@0.260943:0.536759:0.266665:0.536759:0.266665:0.526788:0.260943:0.526788:0.000000
f(x):@0.179134:0.488728:0.197076:0.488728:0.197076:0.475341:0.179134:0.475341:0.000000:0.000000:0.000000:0.000000
b) :@0.124851:0.628727:0.145232:0.628727:0.145232:0.611591:0.124851:0.611591:0.000000:0.000000:0.000000
x:@0.294855:0.671053:0.300961:0.671053:0.300961:0.657666:0.294855:0.657666:0.000000
y:@0.214358:0.625790:0.220479:0.625790:0.220479:0.612404:0.214358:0.612404:0.000000
2:@0.212785:0.654591:0.218507:0.654591:0.218507:0.644619:0.212785:0.644619:0.000000
4:@0.212785:0.640333:0.218507:0.640333:0.218507:0.630362:0.212785:0.630362:0.000000
2:@0.241691:0.677298:0.247414:0.677298:0.247414:0.667326:0.241691:0.667326:0.000000
–2:@0.199100:0.677298:0.210686:0.677298:0.210686:0.667326:0.199100:0.667326:0.000000:0.000000
–2:@0.205538:0.683503:0.217124:0.683503:0.217124:0.673531:0.205538:0.673531:0.000000:0.000000
–4:@0.205538:0.698060:0.217124:0.698060:0.217124:0.688088:0.205538:0.688088:0.000000:0.000000
–4:@0.180114:0.677298:0.191700:0.677298:0.191700:0.667326:0.180114:0.667326:0.000000:0.000000
4:@0.259680:0.677298:0.265402:0.677298:0.265402:0.667326:0.259680:0.667326:0.000000
f(x):@0.180322:0.629265:0.198264:0.629265:0.198264:0.615879:0.180322:0.615879:0.000000:0.000000:0.000000:0.000000
c) :@0.124851:0.771074:0.142671:0.771074:0.142671:0.753938:0.124851:0.753938:0.000000:0.000000:0.000000
f(x):@0.181272:0.771197:0.199214:0.771197:0.199214:0.757811:0.181272:0.757811:0.000000:0.000000:0.000000:0.000000
x:@0.294848:0.812986:0.300954:0.812986:0.300954:0.799599:0.294848:0.799599:0.000000
y:@0.213175:0.768074:0.219296:0.768074:0.219296:0.754687:0.213175:0.754687:0.000000
2:@0.212785:0.796523:0.218507:0.796523:0.218507:0.786551:0.212785:0.786551:0.000000
4:@0.212785:0.782265:0.218507:0.782265:0.218507:0.772293:0.212785:0.772293:0.000000
2:@0.242195:0.819230:0.247918:0.819230:0.247918:0.809258:0.242195:0.809258:0.000000
–2:@0.198373:0.819230:0.209959:0.819230:0.209959:0.809258:0.198373:0.809258:0.000000:0.000000
–2:@0.206276:0.825434:0.217862:0.825434:0.217862:0.815463:0.206276:0.815463:0.000000:0.000000
–4:@0.205538:0.839991:0.217124:0.839991:0.217124:0.830020:0.205538:0.830020:0.000000:0.000000
–4:@0.180114:0.819230:0.191700:0.819230:0.191700:0.809258:0.180114:0.809258:0.000000:0.000000
4:@0.262365:0.819230:0.268088:0.819230:0.268088:0.809258:0.262365:0.809258:0.000000
6. :@0.096359:0.068331:0.115100:0.068331:0.115100:0.051195:0.096359:0.051195:0.000000:0.000000:0.000000
Indica:@0.124848:0.068331:0.173423:0.068331:0.173423:0.051430:0.124848:0.051430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, sin dibujarlas, en cuántos puntos cortan al :@0.173423:0.068331:0.489785:0.068331:0.489785:0.052661:0.173423:0.052661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eje de abscisas las siguientes parábolas::@0.124848:0.084927:0.413808:0.084927:0.413808:0.069257:0.124848:0.069257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.124848:0.108646:0.144087:0.108646:0.144087:0.091510:0.124848:0.091510:0.000000:0.000000:0.000000
y = x ² – 7x + 3:@0.153337:0.108646:0.259941:0.108646:0.259941:0.092976:0.153337:0.092976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.124848:0.132365:0.128570:0.132365:0.128570:0.115229:0.124848:0.115229:0.000000
b) :@0.124848:0.156084:0.145229:0.156084:0.145229:0.138948:0.124848:0.138948:0.000000:0.000000:0.000000
y:@0.153337:0.156084:0.160819:0.156084:0.160819:0.139723:0.153337:0.139723:0.000000
 = 3  ² – 5  + 4:@0.160819:0.156084:0.267423:0.156084:0.267423:0.140414:0.160819:0.140414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.188866:0.156084:0.196329:0.156084:0.196329:0.139723:0.188866:0.139723:0.000000
x:@0.231913:0.156084:0.239376:0.156084:0.239376:0.139723:0.231913:0.139723:0.000000
 :@0.124848:0.179803:0.128570:0.179803:0.128570:0.162667:0.124848:0.162667:0.000000
c) :@0.124848:0.203522:0.142668:0.203522:0.142668:0.186386:0.124848:0.186386:0.000000:0.000000:0.000000
y:@0.153337:0.203522:0.160819:0.203522:0.160819:0.187161:0.153337:0.187161:0.000000
 = 2  ² – 8  – 8:@0.160819:0.203522:0.265654:0.203522:0.265654:0.187852:0.160819:0.187852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.188866:0.203522:0.196329:0.203522:0.196329:0.187161:0.188866:0.187161:0.000000
x:@0.231913:0.203522:0.239376:0.203522:0.239376:0.187161:0.231913:0.187161:0.000000
 :@0.124848:0.227241:0.128570:0.227241:0.128570:0.210105:0.124848:0.210105:0.000000
d) :@0.124848:0.250960:0.145340:0.250960:0.145340:0.233824:0.124848:0.233824:0.000000:0.000000:0.000000
y:@0.153337:0.250960:0.160819:0.250960:0.160819:0.234599:0.153337:0.234599:0.000000
 = –2  ² –   + 3:@0.160819:0.250960:0.267644:0.250960:0.267644:0.235290:0.160819:0.235290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.198080:0.250960:0.205543:0.250960:0.205543:0.234599:0.198080:0.234599:0.000000
x:@0.232134:0.250960:0.239597:0.250960:0.239597:0.234599:0.232134:0.234599:0.000000
 :@0.124848:0.274679:0.128570:0.274679:0.128570:0.257543:0.124848:0.257543:0.000000
e) :@0.124848:0.298398:0.144087:0.298398:0.144087:0.281262:0.124848:0.281262:0.000000:0.000000:0.000000
y:@0.153337:0.298398:0.160819:0.298398:0.160819:0.282037:0.153337:0.282037:0.000000
 = 3  ² – 22  + 35:@0.160819:0.298398:0.285408:0.298398:0.285408:0.282728:0.160819:0.282728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.188866:0.298398:0.196329:0.298398:0.196329:0.282037:0.188866:0.282037:0.000000
x:@0.240905:0.298398:0.248369:0.298398:0.248369:0.282037:0.240905:0.282037:0.000000
 :@0.124848:0.322117:0.128570:0.322117:0.128570:0.304981:0.124848:0.304981:0.000000
f) :@0.124848:0.345836:0.141967:0.345836:0.141967:0.328700:0.124848:0.328700:0.000000:0.000000:0.000000
y:@0.153337:0.345836:0.160819:0.345836:0.160819:0.329474:0.153337:0.329474:0.000000
 = – 3  ² + 5  – 6:@0.160819:0.345836:0.280672:0.345836:0.280672:0.330166:0.160819:0.330166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.202115:0.345836:0.209578:0.345836:0.209578:0.329474:0.202115:0.329474:0.000000
x:@0.246931:0.345836:0.254394:0.345836:0.254394:0.329474:0.246931:0.329474:0.000000
 :@0.124848:0.369555:0.128570:0.369555:0.128570:0.352419:0.124848:0.352419:0.000000
g) :@0.124848:0.393274:0.145137:0.393274:0.145137:0.376138:0.124848:0.376138:0.000000:0.000000:0.000000
y:@0.153337:0.393274:0.160819:0.393274:0.160819:0.376912:0.153337:0.376912:0.000000
 = –   ² + 2  + 10:@0.160819:0.393274:0.282441:0.393274:0.282441:0.377604:0.160819:0.377604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.193122:0.393274:0.200586:0.393274:0.200586:0.376912:0.193122:0.376912:0.000000
x:@0.237938:0.393274:0.245402:0.393274:0.245402:0.376912:0.237938:0.376912:0.000000
Trabajo colaborativo:@0.529846:0.066848:0.693794:0.066848:0.693794:0.049948:0.529846:0.049948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad indagatoria:@0.528338:0.718872:0.700745:0.718872:0.700745:0.701971:0.528338:0.701971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabajen :@0.527011:0.088071:0.600501:0.088071:0.600501:0.071171:0.527011:0.071171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en equipo y:@0.600501:0.088071:0.688032:0.088071:0.688032:0.072402:0.600501:0.072402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 resuelvan:@0.688032:0.088071:0.769314:0.088071:0.769314:0.071171:0.688032:0.071171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.769314:0.088071:0.772521:0.088071:0.772521:0.072402:0.769314:0.072402:0.000000
8.:@0.527011:0.111790:0.542030:0.111790:0.542030:0.094655:0.527011:0.094655:0.000000:0.000000
 :@0.542030:0.111790:0.546065:0.111790:0.546065:0.096121:0.542030:0.096121:0.000000
Construyan:@0.555500:0.111790:0.647178:0.111790:0.647178:0.094890:0.555500:0.094890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las ecuaciones de segundo grado :@0.647178:0.111790:0.901203:0.111790:0.901203:0.096121:0.647178:0.096121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dadas sus raíces en cada literal.:@0.555500:0.128387:0.781327:0.128387:0.781327:0.112717:0.555500:0.112717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.555500:0.152106:0.574739:0.152106:0.574739:0.134970:0.555500:0.134970:0.000000:0.000000:0.000000
x:@0.583989:0.152286:0.591139:0.152286:0.591139:0.136533:0.583989:0.136533:0.000000
1:@0.591148:0.155281:0.596390:0.155281:0.596390:0.146145:0.591148:0.146145:0.000000
 = 8  y    = 4  :@0.596391:0.152117:0.697199:0.152117:0.697199:0.136447:0.596391:0.136447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.648689:0.152297:0.655839:0.152297:0.655839:0.136544:0.648689:0.136544:0.000000
2:@0.655837:0.155281:0.661080:0.155281:0.661080:0.146145:0.655837:0.146145:0.000000
b) :@0.555509:0.179404:0.575890:0.179404:0.575890:0.162269:0.555509:0.162269:0.000000:0.000000:0.000000
x:@0.583998:0.179584:0.591148:0.179584:0.591148:0.163831:0.583998:0.163831:0.000000
1:@0.591148:0.182569:0.596390:0.182569:0.596390:0.173434:0.591148:0.173434:0.000000
 = 10  y    = 2  :@0.596391:0.179406:0.706190:0.179406:0.706190:0.163736:0.596391:0.163736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.657682:0.179585:0.664831:0.179585:0.664831:0.163833:0.657682:0.163833:0.000000
2:@0.664830:0.182569:0.670072:0.182569:0.670072:0.173434:0.664830:0.173434:0.000000
c) :@0.555507:0.206693:0.573326:0.206693:0.573326:0.189557:0.555507:0.189557:0.000000:0.000000:0.000000
x:@0.583996:0.206873:0.591146:0.206873:0.591146:0.191120:0.583996:0.191120:0.000000
1:@0.591148:0.209858:0.596390:0.209858:0.596390:0.200722:0.591148:0.200722:0.000000
 = 6  y    = –2 :@0.596391:0.206694:0.702377:0.206694:0.702377:0.191024:0.596391:0.191024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.648689:0.206874:0.655839:0.206874:0.655839:0.191121:0.648689:0.191121:0.000000
2:@0.655837:0.209858:0.661080:0.209858:0.661080:0.200722:0.655837:0.200722:0.000000
d) :@0.555509:0.233981:0.576000:0.233981:0.576000:0.216845:0.555509:0.216845:0.000000:0.000000:0.000000
x:@0.583998:0.234161:0.591148:0.234161:0.591148:0.218408:0.583998:0.218408:0.000000
1:@0.591148:0.237146:0.596390:0.237146:0.596390:0.228011:0.591148:0.228011:0.000000
 = –4  y    = 12:@0.596391:0.233982:0.707334:0.233982:0.707334:0.218313:0.596391:0.218313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.657903:0.234162:0.665053:0.234162:0.665053:0.218410:0.657903:0.218410:0.000000
2:@0.665051:0.237146:0.670294:0.237146:0.670294:0.228011:0.665051:0.228011:0.000000
9.:@0.527020:0.261270:0.542038:0.261270:0.542038:0.244134:0.527020:0.244134:0.000000:0.000000
 :@0.542038:0.261270:0.546074:0.261270:0.546074:0.245600:0.542038:0.245600:0.000000
Observen:@0.555509:0.261270:0.632591:0.261270:0.632591:0.244369:0.555509:0.244369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las gráficas y :@0.632591:0.261270:0.731242:0.261270:0.731242:0.245600:0.632591:0.245600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinen:@0.730984:0.261270:0.824560:0.261270:0.824560:0.244369:0.730984:0.244369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el tipo de :@0.824560:0.261270:0.901226:0.261270:0.901226:0.245600:0.824560:0.245600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
raíces que tiene la función.:@0.555509:0.277866:0.751063:0.277866:0.751063:0.262196:0.555509:0.262196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.555509:0.301585:0.574747:0.301585:0.574747:0.284449:0.555509:0.284449:0.000000:0.000000:0.000000
f(x):@0.627696:0.309570:0.646805:0.309570:0.646805:0.295314:0.627696:0.295314:0.000000:0.000000:0.000000:0.000000
x:@0.721711:0.346483:0.728214:0.346483:0.728214:0.332227:0.721711:0.332227:0.000000
y:@0.654560:0.299785:0.661079:0.299785:0.661079:0.285528:0.654560:0.285528:0.000000
b) :@0.555504:0.419705:0.575885:0.419705:0.575885:0.402569:0.555504:0.402569:0.000000:0.000000:0.000000
f(x):@0.613995:0.424700:0.631936:0.424700:0.631936:0.411313:0.613995:0.411313:0.000000:0.000000:0.000000:0.000000
x:@0.728355:0.466489:0.734461:0.466489:0.734461:0.453102:0.728355:0.453102:0.000000
y:@0.656769:0.418374:0.662890:0.418374:0.662890:0.404988:0.656769:0.404988:0.000000
2:@0.648310:0.450026:0.654033:0.450026:0.654033:0.440054:0.648310:0.440054:0.000000
4:@0.648310:0.435768:0.654033:0.435768:0.654033:0.425796:0.648310:0.425796:0.000000
2:@0.677428:0.472733:0.683150:0.472733:0.683150:0.462761:0.677428:0.462761:0.000000
–2:@0.636677:0.472733:0.648263:0.472733:0.648263:0.462761:0.636677:0.462761:0.000000:0.000000
–2:@0.641649:0.478937:0.653235:0.478937:0.653235:0.468966:0.641649:0.468966:0.000000:0.000000
–4:@0.641884:0.493494:0.653470:0.493494:0.653470:0.483523:0.641884:0.483523:0.000000:0.000000
–4:@0.617082:0.472733:0.628668:0.472733:0.628668:0.462761:0.617082:0.462761:0.000000:0.000000
4:@0.696038:0.472733:0.701760:0.472733:0.701760:0.462761:0.696038:0.462761:0.000000
10.:@0.527014:0.553753:0.552260:0.553753:0.552260:0.536617:0.527014:0.536617:0.000000:0.000000:0.000000
 :@0.552260:0.553753:0.556296:0.553753:0.556296:0.538083:0.552260:0.538083:0.000000
Resuelvan:@0.555504:0.553753:0.637118:0.553753:0.637118:0.536852:0.555504:0.536852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los siguientes problemas.:@0.637118:0.553753:0.825966:0.553753:0.825966:0.538083:0.637118:0.538083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.555504:0.577472:0.574742:0.577472:0.574742:0.560336:0.555504:0.560336:0.000000:0.000000:0.000000
Una raíz de la ecuación 2  ² –:@0.583993:0.577472:0.806654:0.577472:0.806654:0.561802:0.583993:0.561802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.773687:0.577472:0.781150:0.577472:0.781150:0.561111:0.773687:0.561111:0.000000
 kx:@0.806654:0.577472:0.826224:0.577472:0.826224:0.561111:0.806654:0.561111:0.000000:0.000000:0.000000
 + 48 = 0 :@0.826224:0.577472:0.901243:0.577472:0.901243:0.561802:0.826224:0.561802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.897170:0.577472:0.901206:0.577472:0.901206:0.561802:0.897170:0.561802:0.000000
es 6. ¿Cuál es la otra raíz y cuál es el valor :@0.583993:0.594068:0.901243:0.594068:0.901243:0.578399:0.583993:0.578399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de  ? :@0.583993:0.610665:0.625621:0.610665:0.625621:0.594995:0.583993:0.594995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.606990:0.610665:0.614564:0.610665:0.614564:0.594304:0.606990:0.594304:0.000000
b) :@0.555504:0.634384:0.575885:0.634384:0.575885:0.617248:0.555504:0.617248:0.000000:0.000000:0.000000
Determinen:@0.583993:0.634384:0.677789:0.634384:0.677789:0.617483:0.583993:0.617483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   en la ecuación   ² – 16  +   = 0, :@0.677605:0.634384:0.901225:0.634384:0.901225:0.618714:0.677605:0.618714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.680019:0.634384:0.687593:0.634384:0.687593:0.618023:0.680019:0.618023:0.000000
x:@0.792999:0.634384:0.800462:0.634384:0.800462:0.618023:0.792999:0.618023:0.000000
x k:@0.839252:0.634384:0.869732:0.634384:0.869732:0.618023:0.839252:0.618023:0.000000:0.000000:0.000000
sabiendo que sus raíces se diferencian en  :@0.584011:0.650980:0.901225:0.650980:0.901225:0.635310:0.584011:0.635310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 unidades. :@0.584011:0.667577:0.671817:0.667577:0.671817:0.651907:0.584011:0.651907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11. :@0.523053:0.740075:0.552021:0.740075:0.552021:0.722939:0.523053:0.722939:0.000000:0.000000:0.000000:0.000000
Indaga:@0.551542:0.740075:0.607046:0.740075:0.607046:0.723174:0.551542:0.723174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la forma de resolver el siguiente :@0.607046:0.740075:0.847797:0.740075:0.847797:0.724405:0.607046:0.724405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problema. :@0.551542:0.756671:0.630467:0.756671:0.630467:0.741002:0.551542:0.741002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mateo y Angélica solucionan un problema :@0.551542:0.780390:0.897226:0.780390:0.897226:0.764721:0.551542:0.764721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se reduce a una ecuación de segundo :@0.551560:0.796987:0.897299:0.796987:0.897299:0.781317:0.551560:0.781317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grado. Mateo comete un error en el término :@0.551560:0.813583:0.897299:0.813583:0.897299:0.797913:0.551560:0.797913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
independiente  al escribir la ecuación de :@0.551560:0.830179:0.897244:0.830179:0.897244:0.814510:0.551560:0.814510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundo grado y dice que las soluciones son :@0.551560:0.846776:0.897281:0.846776:0.897281:0.831106:0.551560:0.831106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8 y 2. Angélica, en cambio, comete un error :@0.551560:0.863372:0.897226:0.863372:0.897226:0.847703:0.551560:0.847703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el coeficiente del término lineal y dice que :@0.551560:0.879969:0.897244:0.879969:0.897244:0.864299:0.551560:0.864299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las soluciones son –9 y –1.  ¿Cómo  puedes :@0.551560:0.896565:0.897263:0.896565:0.897263:0.880895:0.551560:0.880895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encontrar la ecuación correcta? :@0.551560:0.913161:0.785938:0.913161:0.785938:0.897492:0.551560:0.897492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Corta en 2 puntos.:@0.152788:0.126562:0.238813:0.126562:0.238813:0.116591:0.152788:0.116591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.754425:0.154295:0.761285:0.154295:0.761285:0.143883:0.754425:0.143883:0.000000:0.000000
² – 12  + 32 = 0:@0.761285:0.154295:0.833252:0.154295:0.833252:0.144323:0.761285:0.144323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.787084:0.154295:0.791833:0.154295:0.791833:0.143883:0.787084:0.143883:0.000000
No corta.:@0.152788:0.171149:0.195297:0.171149:0.195297:0.161177:0.152788:0.161177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No corta.:@0.152788:0.360267:0.195297:0.360267:0.195297:0.350295:0.152788:0.350295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.758459:0.179536:0.765319:0.179536:0.765319:0.169125:0.758459:0.169125:0.000000:0.000000
² – 8  – 20 = 0:@0.765319:0.179536:0.830437:0.179536:0.830437:0.169565:0.765319:0.169565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.785395:0.179536:0.790144:0.179536:0.790144:0.169125:0.785395:0.169125:0.000000
x :@0.758459:0.202965:0.765319:0.202965:0.765319:0.192553:0.758459:0.192553:0.000000:0.000000
² – 4  – 12 = 0:@0.765319:0.202965:0.830437:0.202965:0.830437:0.192993:0.765319:0.192993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.785395:0.202965:0.790144:0.202965:0.790144:0.192553:0.785395:0.192553:0.000000
x :@0.758459:0.227150:0.765319:0.227150:0.765319:0.216739:0.758459:0.216739:0.000000:0.000000
² – 8  – 48 = 0:@0.765319:0.227150:0.830437:0.227150:0.830437:0.217179:0.765319:0.217179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.785395:0.227150:0.790144:0.227150:0.790144:0.216739:0.785395:0.216739:0.000000
Corta en dos puntos.:@0.152788:0.219687:0.250083:0.219687:0.250083:0.209715:0.152788:0.209715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos raíces reales diferentes.:@0.584752:0.522850:0.712382:0.522850:0.712382:0.512878:0.584752:0.512878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.632503:0.608106:0.639363:0.608106:0.639363:0.597694:0.632503:0.597694:0.000000:0.000000
= 8 y   = 14:@0.639363:0.608106:0.693329:0.608106:0.693329:0.598135:0.639363:0.598135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.664939:0.608106:0.669758:0.608106:0.669758:0.597694:0.664939:0.597694:0.000000
 k:@0.586429:0.681516:0.593359:0.681516:0.593359:0.671105:0.586429:0.671105:0.000000:0.000000
 = 21:@0.593359:0.681516:0.616930:0.681516:0.616930:0.671545:0.593359:0.671545:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.787776:0.911648:0.792525:0.911648:0.792525:0.901236:0.787776:0.901236:0.000000
2:@0.792522:0.907792:0.795858:0.907792:0.795858:0.901978:0.792522:0.901978:0.000000
 – 10  + 9 = 0:@0.795857:0.911640:0.858747:0.911640:0.858747:0.901668:0.795857:0.901668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.818302:0.911640:0.823051:0.911640:0.823051:0.901228:0.818302:0.901228:0.000000
Corta en dos puntos.:@0.152789:0.262321:0.250084:0.262321:0.250084:0.252349:0.152789:0.252349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Corta en dos puntos.:@0.152789:0.314397:0.250084:0.314397:0.250084:0.304425:0.152789:0.304425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Corta en dos puntos.:@0.152789:0.407469:0.250084:0.407469:0.250084:0.397497:0.152789:0.397497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos raíces reales iguales.:@0.154185:0.589027:0.268412:0.589027:0.268412:0.579055:0.154185:0.579055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos raíces reales iguales.:@0.584753:0.389646:0.698981:0.389646:0.698981:0.379675:0.584753:0.379675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No tiene raíces reales.:@0.154185:0.729695:0.254668:0.729695:0.254668:0.719723:0.154185:0.719723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos raíces reales diferentes.:@0.154185:0.871190:0.281816:0.871190:0.281816:0.861218:0.154185:0.861218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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