82:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115209:0.550698:0.272331:0.550698:0.272331:0.532261:0.115209:0.532261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dada la ecuación: :@0.115209:0.570544:0.248533:0.570544:0.248533:0.554155:0.115209:0.554155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.248533:0.570544:0.255996:0.570544:0.255996:0.554183:0.248533:0.554183:0.000000
2:@0.255994:0.564497:0.261237:0.564497:0.261237:0.554942:0.255994:0.554942:0.000000
 – 6  + 8 = 0:@0.261236:0.570544:0.351071:0.570544:0.351071:0.554155:0.261236:0.554155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.287514:0.570544:0.294977:0.570544:0.294977:0.554183:0.287514:0.554183:0.000000
. :@0.351071:0.570544:0.358313:0.570544:0.358313:0.554155:0.351071:0.554155:0.000000:0.000000
* :@0.115215:0.594263:0.126456:0.594263:0.126456:0.577874:0.115215:0.577874:0.000000:0.000000
Analizamos:@0.126456:0.594263:0.213508:0.594263:0.213508:0.577639:0.126456:0.577639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el discriminante::@0.213343:0.594263:0.334615:0.594263:0.334615:0.577874:0.213343:0.577874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   D:@0.115215:0.617982:0.136702:0.617982:0.136702:0.601621:0.115215:0.601621:0.000000:0.000000:0.000000:0.000000
 =   – 4:@0.136702:0.617982:0.196538:0.617992:0.196538:0.601603:0.136702:0.601593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.155756:0.617982:0.165025:0.617982:0.165025:0.601621:0.155756:0.601621:0.000000
2:@0.165017:0.611945:0.170260:0.611945:0.170260:0.602390:0.165017:0.602390:0.000000
ac ;  a :@0.196538:0.617992:0.239346:0.617992:0.239346:0.601631:0.196538:0.601631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 1,  = –6,  = 8:@0.239346:0.617992:0.358646:0.617992:0.358646:0.601603:0.239346:0.601603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b :@0.270599:0.617992:0.283185:0.617992:0.283185:0.601631:0.270599:0.601631:0.000000:0.000000
 c:@0.319616:0.617992:0.330599:0.617992:0.330599:0.601631:0.319616:0.601631:0.000000:0.000000
   D:@0.115217:0.641711:0.136704:0.641711:0.136704:0.625350:0.115217:0.625350:0.000000:0.000000:0.000000:0.000000
 = (–6)  – 4(1)(8):@0.136704:0.641711:0.252761:0.641718:0.252761:0.625329:0.136704:0.625322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.183721:0.635670:0.188964:0.635670:0.188964:0.626116:0.183721:0.626116:0.000000
   D:@0.115217:0.665437:0.134907:0.665437:0.134907:0.649075:0.115217:0.649075:0.000000:0.000000:0.000000:0.000000
 = 4 > 0, la ecuación tiene raíces reales diferentes.:@0.134907:0.665437:0.487509:0.665437:0.487509:0.649048:0.134907:0.649048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
* :@0.115217:0.689156:0.126458:0.689156:0.126458:0.672767:0.115217:0.672767:0.000000:0.000000
Analizamos:@0.126458:0.689156:0.215003:0.689156:0.215003:0.672532:0.126458:0.672532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si las raíces :@0.215003:0.689156:0.302700:0.689156:0.302700:0.672767:0.215003:0.672767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    x:@0.115217:0.712875:0.133368:0.712875:0.133368:0.696513:0.115217:0.696513:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.133254:0.716055:0.138497:0.716055:0.138497:0.706500:0.133254:0.706500:0.000000
 = –2  = –4 son soluciones de la ecuación dada.:@0.138444:0.712891:0.487462:0.712891:0.487462:0.696502:0.138444:0.696502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
; x:@0.173881:0.712891:0.187259:0.712891:0.187259:0.696530:0.173881:0.696530:0.000000:0.000000:0.000000
2:@0.187174:0.716055:0.192416:0.716055:0.192416:0.706500:0.187174:0.706500:0.000000
  :@0.115205:0.758877:0.123277:0.758877:0.123277:0.742488:0.115205:0.742488:0.000000:0.000000
x:@0.127363:0.745556:0.134826:0.745556:0.134826:0.730162:0.127363:0.730162:0.000000
x:@0.155631:0.745556:0.163094:0.745556:0.163094:0.730162:0.155631:0.730162:0.000000
b:@0.198825:0.737036:0.208094:0.737036:0.208094:0.721643:0.198825:0.721643:0.000000
a:@0.199033:0.756478:0.208302:0.756478:0.208302:0.741085:0.199033:0.741085:0.000000
( )( ):@0.233846:0.748687:0.311071:0.748687:0.311071:0.728754:0.233846:0.728754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.142023:0.746233:0.120665:0.746233:0.120665:0.730660:0.142023:0.730660:0.000000
=:@0.173497:0.746233:0.152139:0.746233:0.152139:0.730660:0.173497:0.730660:0.000000
⇒:@0.212748:0.746233:0.230936:0.746233:0.230936:0.730660:0.212748:0.730660:0.000000
+:@0.266880:0.746233:0.230135:0.746233:0.230135:0.730660:0.266880:0.730660:0.000000
=:@0.313741:0.746233:0.276997:0.746233:0.276997:0.730660:0.313741:0.730660:0.000000
–:@0.186520:0.745556:0.195734:0.745556:0.195734:0.729886:0.186520:0.729886:0.000000
–2:@0.240652:0.745556:0.258858:0.745556:0.258858:0.729886:0.240652:0.729886:0.000000:0.000000
–4:@0.285831:0.745556:0.304037:0.745556:0.304037:0.729886:0.285831:0.729886:0.000000:0.000000
–6:@0.326769:0.745556:0.344976:0.745556:0.344976:0.729886:0.326769:0.729886:0.000000:0.000000
1:@0.134849:0.747559:0.140061:0.747559:0.140061:0.738478:0.134849:0.738478:0.000000
2:@0.163802:0.747559:0.169013:0.747559:0.169013:0.738478:0.163802:0.738478:0.000000
   Puesto que –   = – –6  = 6 no son soluciones.:@0.115209:0.786902:0.471356:0.786889:0.471356:0.770500:0.115209:0.770513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.227247:0.779144:0.231283:0.779144:0.231283:0.762755:0.227247:0.762755:0.000000
b :@0.231283:0.779144:0.243869:0.779144:0.243869:0.762783:0.231283:0.762783:0.000000:0.000000
 :@0.227247:0.798839:0.231283:0.798839:0.231283:0.782450:0.227247:0.782450:0.000000
a:@0.231283:0.798839:0.240552:0.798839:0.240552:0.782477:0.231283:0.782477:0.000000
( ):@0.273556:0.787567:0.304035:0.787567:0.304035:0.771994:0.273556:0.771994:0.000000:0.000000:0.000000
* :@0.115207:0.817745:0.126448:0.817745:0.126448:0.801356:0.115207:0.801356:0.000000:0.000000
Analizamos:@0.126448:0.817745:0.214993:0.817745:0.214993:0.801121:0.126448:0.801121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si las raíces :@0.214993:0.817745:0.302690:0.817745:0.302690:0.801356:0.214993:0.801356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   x:@0.115207:0.841464:0.131928:0.841464:0.131928:0.825103:0.115207:0.825103:0.000000:0.000000:0.000000:0.000000
1:@0.131931:0.844641:0.137174:0.844641:0.137174:0.835086:0.131931:0.835086:0.000000
 = 2:@0.137174:0.841478:0.164669:0.841478:0.164669:0.825089:0.137174:0.825089:0.000000:0.000000:0.000000:0.000000
y;  x:@0.164669:0.841478:0.189491:0.841478:0.189491:0.825116:0.164669:0.825116:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.189480:0.844641:0.194723:0.844641:0.194723:0.835086:0.189480:0.835086:0.000000
 = 4 son soluciones de la ecuación dada.:@0.194722:0.841478:0.487537:0.841478:0.487537:0.825089:0.194722:0.825089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115207:0.873426:0.119243:0.873426:0.119243:0.857037:0.115207:0.857037:0.000000
x:@0.123329:0.874791:0.130792:0.874791:0.130792:0.859398:0.123329:0.859398:0.000000
x:@0.151597:0.874791:0.159060:0.874791:0.159060:0.859398:0.151597:0.859398:0.000000
b:@0.194791:0.866272:0.204060:0.866272:0.204060:0.850878:0.194791:0.850878:0.000000
a:@0.194997:0.885712:0.204266:0.885712:0.204266:0.870319:0.194997:0.870319:0.000000
+:@0.137987:0.875467:0.116629:0.875467:0.116629:0.859895:0.137987:0.859895:0.000000
=:@0.169461:0.875467:0.148104:0.875467:0.148104:0.859895:0.169461:0.859895:0.000000
⇒ +=:@0.208712:0.875467:0.275641:0.875467:0.275641:0.859895:0.208712:0.859895:0.000000:0.000000:0.000000:0.000000
–:@0.182486:0.874790:0.191700:0.874790:0.191700:0.859120:0.182486:0.859120:0.000000
24 6:@0.229812:0.874790:0.287550:0.874790:0.287550:0.859120:0.229812:0.859120:0.000000:0.000000:0.000000:0.000000
1:@0.130814:0.876795:0.136025:0.876795:0.136025:0.867714:0.130814:0.867714:0.000000
2:@0.159766:0.876795:0.164978:0.876795:0.164978:0.867714:0.159766:0.867714:0.000000
;  –:@0.291886:0.873432:0.311326:0.874004:0.311326:0.857615:0.291886:0.857043:0.000000:0.000000:0.000000:0.000000
=:@0.328341:0.874682:0.338458:0.874682:0.338458:0.859109:0.328341:0.859109:0.000000
–6,  y:@0.341381:0.874004:0.378282:0.873432:0.378282:0.857043:0.341381:0.857615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.314417:0.865485:0.323686:0.865485:0.323686:0.849123:0.314417:0.849123:0.000000
a:@0.314624:0.884926:0.323893:0.884926:0.323893:0.868565:0.314624:0.868565:0.000000
  :@0.508786:0.590754:0.516858:0.590754:0.516858:0.574365:0.508786:0.574365:0.000000:0.000000
xx:@0.520942:0.576926:0.550924:0.576926:0.550924:0.561533:0.520942:0.561533:0.000000:0.000000
c:@0.576391:0.568407:0.584056:0.568407:0.584056:0.553014:0.576391:0.553014:0.000000
a:@0.575806:0.587849:0.585075:0.587849:0.585075:0.572455:0.575806:0.572455:0.000000
⋅:@0.535600:0.577603:0.540207:0.577603:0.540207:0.562030:0.535600:0.562030:0.000000
= ⇒⋅ =:@0.561307:0.577603:0.650681:0.577603:0.650681:0.562030:0.561307:0.562030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
24 8:@0.610619:0.576925:0.662222:0.576925:0.662222:0.561255:0.610619:0.561255:0.000000:0.000000:0.000000:0.000000
1:@0.528428:0.578930:0.533640:0.578930:0.533640:0.569849:0.528428:0.569849:0.000000
2:@0.551625:0.578930:0.556836:0.578930:0.556836:0.569849:0.551625:0.569849:0.000000
   sí son soluciones.:@0.508788:0.614482:0.647178:0.614482:0.647178:0.598093:0.508788:0.598093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
* :@0.508788:0.638201:0.520029:0.638201:0.520029:0.621812:0.508788:0.621812:0.000000:0.000000
Calculamos:@0.519789:0.638201:0.608002:0.638201:0.608002:0.621577:0.519789:0.621577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las soluciones por la fórmula general.:@0.608002:0.638201:0.881098:0.638201:0.881098:0.621812:0.608002:0.621812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.508788:0.853041:0.520895:0.853041:0.520895:0.836652:0.508788:0.836652:0.000000:0.000000:0.000000
( ):@0.550630:0.712957:0.582307:0.712957:0.582307:0.693024:0.550630:0.693024:0.000000:0.000000:0.000000
( ):@0.608696:0.712957:0.640373:0.712957:0.640373:0.693024:0.608696:0.693024:0.000000:0.000000:0.000000
()():@0.673303:0.712957:0.714353:0.712957:0.714353:0.693024:0.673303:0.693024:0.000000:0.000000:0.000000:0.000000
():@0.629261:0.734607:0.647117:0.734607:0.647117:0.714674:0.629261:0.714674:0.000000:0.000000
=:@0.536495:0.675574:0.546611:0.675574:0.546611:0.660001:0.536495:0.660001:0.000000
±:@0.571839:0.667055:0.581956:0.667055:0.581956:0.651482:0.571839:0.651482:0.000000
=:@0.536495:0.721242:0.546611:0.721242:0.546611:0.705669:0.536495:0.705669:0.000000
±:@0.584038:0.710510:0.594155:0.710510:0.594155:0.694937:0.584038:0.694937:0.000000
±:@0.535555:0.765706:0.545672:0.765706:0.545672:0.750133:0.535555:0.750133:0.000000
+:@0.560469:0.757187:0.570586:0.757187:0.570586:0.741614:0.560469:0.741614:0.000000
=:@0.640611:0.765706:0.650728:0.765706:0.650728:0.750133:0.640611:0.750133:0.000000
±:@0.666059:0.757187:0.676176:0.757187:0.676176:0.741614:0.666059:0.741614:0.000000
=:@0.536495:0.802453:0.546611:0.802453:0.546611:0.786881:0.536495:0.786881:0.000000
±:@0.561943:0.793934:0.572060:0.793934:0.572060:0.778361:0.561943:0.778361:0.000000
=:@0.540586:0.839201:0.550702:0.839201:0.550702:0.823628:0.540586:0.823628:0.000000
+:@0.566034:0.830681:0.576151:0.830681:0.576151:0.815108:0.566034:0.815108:0.000000
=:@0.591169:0.839201:0.601286:0.839201:0.601286:0.823628:0.591169:0.823628:0.000000
=:@0.648074:0.839201:0.658191:0.839201:0.658191:0.823628:0.648074:0.823628:0.000000
=:@0.699008:0.839201:0.709125:0.839201:0.709125:0.823628:0.699008:0.823628:0.000000
–:@0.551016:0.666391:0.560229:0.666391:0.560229:0.650002:0.551016:0.650002:0.000000
– 4:@0.615881:0.666391:0.637331:0.666391:0.637331:0.650002:0.615881:0.650002:0.000000:0.000000:0.000000
2:@0.594615:0.685836:0.603608:0.685836:0.603608:0.669447:0.594615:0.669447:0.000000
–6:@0.557447:0.709846:0.575653:0.709846:0.575653:0.693457:0.557447:0.693457:0.000000:0.000000
–6 –4 18:@0.615512:0.709846:0.707706:0.709846:0.707706:0.693457:0.615512:0.693457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
21:@0.619345:0.731490:0.643578:0.731490:0.643578:0.715101:0.619345:0.715101:0.000000:0.000000
6:@0.549560:0.756523:0.558553:0.756523:0.558553:0.740134:0.549560:0.740134:0.000000
36–32:@0.585162:0.756523:0.635193:0.756523:0.635193:0.740134:0.585162:0.740134:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.588405:0.775968:0.597398:0.775968:0.597398:0.759580:0.588405:0.759580:0.000000
6:@0.655123:0.756503:0.664116:0.756503:0.664116:0.740114:0.655123:0.740114:0.000000
4:@0.691463:0.756503:0.700455:0.756503:0.700455:0.740114:0.691463:0.740114:0.000000
2:@0.674179:0.775952:0.683172:0.775952:0.683172:0.759563:0.674179:0.759563:0.000000
62:@0.550991:0.793240:0.583073:0.793240:0.583073:0.776851:0.550991:0.776851:0.000000:0.000000
2:@0.562342:0.812685:0.571335:0.812685:0.571335:0.796296:0.562342:0.796296:0.000000
62:@0.555063:0.829973:0.587146:0.829973:0.587146:0.813584:0.555063:0.813584:0.000000:0.000000
2:@0.566414:0.849419:0.575407:0.849419:0.575407:0.833030:0.566414:0.833030:0.000000
4;:@0.604523:0.838493:0.617625:0.838493:0.617625:0.822104:0.604523:0.822104:0.000000:0.000000
...:@0.618546:0.838493:0.627834:0.838493:0.627834:0.822104:0.618546:0.822104:0.000000:0.000000:0.000000
6–2:@0.662515:0.829973:0.694966:0.829973:0.694966:0.813584:0.662515:0.813584:0.000000:0.000000:0.000000
2:@0.674032:0.849419:0.683025:0.849419:0.683025:0.833030:0.674032:0.833030:0.000000
2:@0.711624:0.838493:0.720617:0.838493:0.720617:0.822104:0.711624:0.822104:0.000000
2:@0.606332:0.658709:0.611544:0.658709:0.611544:0.649210:0.606332:0.649210:0.000000
2:@0.640624:0.700276:0.645836:0.700276:0.645836:0.690778:0.640624:0.690778:0.000000
1:@0.532472:0.840503:0.537683:0.840503:0.537683:0.831005:0.532472:0.831005:0.000000
2:@0.638632:0.838257:0.642388:0.838257:0.642388:0.831413:0.638632:0.831413:0.000000
x:@0.524977:0.674897:0.532441:0.674897:0.532441:0.658535:0.524977:0.658535:0.000000
b:@0.560524:0.666377:0.569793:0.666377:0.569793:0.650016:0.560524:0.650016:0.000000
b:@0.596495:0.666377:0.605764:0.666377:0.605764:0.650016:0.596495:0.650016:0.000000
ac:@0.638215:0.666377:0.655095:0.666377:0.655095:0.650016:0.638215:0.650016:0.000000:0.000000
a:@0.603774:0.685822:0.613043:0.685822:0.613043:0.669461:0.603774:0.669461:0.000000
x:@0.524977:0.720550:0.532441:0.720550:0.532441:0.704189:0.524977:0.704189:0.000000
x:@0.524977:0.765029:0.532441:0.765029:0.532441:0.748667:0.524977:0.748667:0.000000
x:@0.524977:0.801762:0.532441:0.801762:0.532441:0.785401:0.524977:0.785401:0.000000
x:@0.524977:0.838503:0.532441:0.838503:0.532441:0.822142:0.524977:0.822142:0.000000
x:@0.629517:0.838503:0.636981:0.838503:0.636981:0.822142:0.629517:0.822142:0.000000
  Luego, su conjunto solución es::@0.508788:0.876764:0.747055:0.876764:0.747055:0.860375:0.508788:0.860375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  S:@0.508788:0.900483:0.523493:0.900483:0.523493:0.884121:0.508788:0.884121:0.000000:0.000000:0.000000
 = {2, 4}  o    = 2,    = 4:@0.523493:0.900483:0.696267:0.900489:0.696267:0.884100:0.523493:0.884094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.603488:0.900483:0.610951:0.900483:0.610951:0.884121:0.603488:0.884121:0.000000
1:@0.610949:0.903653:0.616192:0.903653:0.616192:0.894098:0.610949:0.894098:0.000000
x:@0.655515:0.900489:0.662979:0.900489:0.662979:0.884128:0.655515:0.884128:0.000000
2:@0.662979:0.903653:0.668221:0.903653:0.668221:0.894098:0.662979:0.894098:0.000000
Para ampliar más la :@0.223875:0.455828:0.376673:0.455828:0.376673:0.440929:0.223875:0.440929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
información :@0.223875:0.470916:0.308324:0.470916:0.308324:0.456017:0.223875:0.456017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingresa:@0.307804:0.470916:0.358698:0.470916:0.358698:0.455803:0.307804:0.455803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 al :@0.358698:0.470916:0.376673:0.470916:0.376673:0.456017:0.358698:0.456017:0.000000:0.000000:0.000000:0.000000
siguiente video::@0.223875:0.486003:0.329246:0.486003:0.329246:0.471104:0.223875:0.471104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TIC:@0.163487:0.436394:0.183456:0.436394:0.183456:0.414668:0.163487:0.414668:0.000000:0.000000:0.000000
mayedu.ec/ctm10/p82:@0.224369:0.505322:0.375792:0.505322:0.375792:0.490197:0.224369:0.490197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dada la ecuación cuadrática :@0.115209:0.207134:0.330941:0.207134:0.330941:0.190745:0.115209:0.190745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.332692:0.207134:0.349424:0.207134:0.349424:0.190773:0.332692:0.190773:0.000000:0.000000
2:@0.349412:0.201087:0.354655:0.201087:0.354655:0.191532:0.349412:0.191532:0.000000
 +   +   = 0, sus raíces se pueden determinar empleando la fórmula :@0.354656:0.207134:0.883971:0.207134:0.883971:0.190745:0.354656:0.190745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.377211:0.207134:0.393778:0.207134:0.393778:0.190773:0.377211:0.190773:0.000000:0.000000
c:@0.416333:0.207134:0.423999:0.207134:0.423999:0.190773:0.416333:0.190773:0.000000
 :@0.879899:0.207134:0.883934:0.207134:0.883934:0.190745:0.879899:0.190745:0.000000
general::@0.115207:0.223730:0.173899:0.223730:0.173899:0.207342:0.115207:0.207342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.242812:0.260027:0.250275:0.260027:0.250275:0.243666:0.242812:0.243666:0.000000
b:@0.278359:0.251508:0.287628:0.251508:0.287628:0.235147:0.278359:0.235147:0.000000
b:@0.314329:0.251508:0.323599:0.251508:0.323599:0.235147:0.314329:0.235147:0.000000
ac:@0.356050:0.251508:0.372929:0.251508:0.372929:0.235147:0.356050:0.235147:0.000000:0.000000
a:@0.321600:0.270950:0.330869:0.270950:0.330869:0.254588:0.321600:0.254588:0.000000
x:@0.460226:0.260027:0.467689:0.260027:0.467689:0.243666:0.460226:0.243666:0.000000
b:@0.499864:0.251508:0.509133:0.251508:0.509133:0.235147:0.499864:0.235147:0.000000
b:@0.535835:0.251508:0.545104:0.251508:0.545104:0.235147:0.535835:0.235147:0.000000
ac:@0.577555:0.251508:0.594435:0.251508:0.594435:0.235147:0.577555:0.235147:0.000000:0.000000
a:@0.543098:0.270950:0.552368:0.270950:0.552368:0.254588:0.543098:0.254588:0.000000
yx:@0.601836:0.260027:0.620706:0.260027:0.620706:0.243666:0.601836:0.243666:0.000000:0.000000
b:@0.655128:0.251508:0.664398:0.251508:0.664398:0.235147:0.655128:0.235147:0.000000
b:@0.691468:0.251508:0.700737:0.251508:0.700737:0.235147:0.691468:0.235147:0.000000
ac:@0.733188:0.251508:0.750068:0.251508:0.750068:0.235147:0.733188:0.235147:0.000000:0.000000
a:@0.698581:0.270950:0.707850:0.270950:0.707850:0.254588:0.698581:0.254588:0.000000
=:@0.254329:0.260705:0.264446:0.260705:0.264446:0.245132:0.254329:0.245132:0.000000
±:@0.289673:0.252186:0.299790:0.252186:0.299790:0.236613:0.289673:0.236613:0.000000
=:@0.475829:0.260705:0.485946:0.260705:0.485946:0.245132:0.475829:0.245132:0.000000
+:@0.511173:0.252186:0.521290:0.252186:0.521290:0.236613:0.511173:0.236613:0.000000
=:@0.631119:0.260705:0.641236:0.260705:0.641236:0.245132:0.631119:0.245132:0.000000
–:@0.268850:0.251508:0.278064:0.251508:0.278064:0.235119:0.268850:0.235119:0.000000
– 4:@0.333715:0.251508:0.355165:0.251508:0.355165:0.235119:0.333715:0.235119:0.000000:0.000000:0.000000
2:@0.312438:0.270950:0.321431:0.270950:0.321431:0.254561:0.312438:0.254561:0.000000
.:@0.377302:0.260027:0.380508:0.260027:0.380508:0.243639:0.377302:0.243639:0.000000
de donde::@0.380342:0.260027:0.455859:0.260027:0.455859:0.243639:0.380342:0.243639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.399083:0.260027:0.402290:0.260027:0.402290:0.243639:0.399083:0.243639:0.000000
–:@0.490355:0.251508:0.499569:0.251508:0.499569:0.235119:0.490355:0.235119:0.000000
– 4:@0.555221:0.251508:0.576670:0.251508:0.576670:0.235119:0.555221:0.235119:0.000000:0.000000:0.000000
2:@0.533937:0.270950:0.542929:0.270950:0.542929:0.254561:0.533937:0.254561:0.000000
..:@0.598800:0.260027:0.613413:0.260027:0.613413:0.243639:0.598800:0.243639:0.000000:0.000000
––:@0.645606:0.251508:0.676436:0.251508:0.676436:0.235119:0.645606:0.235119:0.000000:0.000000
–4:@0.710840:0.251508:0.732290:0.251508:0.732290:0.235119:0.710840:0.235119:0.000000:0.000000
2:@0.689421:0.270950:0.698413:0.270950:0.698413:0.254561:0.689421:0.254561:0.000000
2:@0.324165:0.243839:0.329376:0.243839:0.329376:0.234341:0.324165:0.234341:0.000000
1:@0.467710:0.262034:0.472922:0.262034:0.472922:0.252536:0.467710:0.252536:0.000000
2:@0.545661:0.243839:0.550872:0.243839:0.550872:0.234341:0.545661:0.234341:0.000000
2:@0.621412:0.262034:0.626623:0.262034:0.626623:0.252536:0.621412:0.252536:0.000000
2:@0.701295:0.243839:0.706507:0.243839:0.706507:0.234341:0.701295:0.234341:0.000000
Las raíces de la ecuación cuadrática cumplen las siguientes propiedades::@0.115209:0.297582:0.646655:0.297582:0.646655:0.281193:0.115209:0.281193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.413686:0.330108:0.421149:0.330108:0.421149:0.313747:0.413686:0.313747:0.000000
x:@0.441954:0.330108:0.449417:0.330108:0.449417:0.313747:0.441954:0.313747:0.000000
b:@0.485149:0.321589:0.494418:0.321589:0.494418:0.305227:0.485149:0.305227:0.000000
a:@0.485355:0.341030:0.494624:0.341030:0.494624:0.324669:0.485355:0.324669:0.000000
xx:@0.515980:0.330108:0.545961:0.330108:0.545961:0.313747:0.515980:0.313747:0.000000:0.000000
c:@0.571428:0.321589:0.579094:0.321589:0.579094:0.305227:0.571428:0.305227:0.000000
a:@0.570844:0.341030:0.580113:0.341030:0.580113:0.324669:0.570844:0.324669:0.000000
+:@0.428345:0.330786:0.438461:0.330786:0.438461:0.315213:0.428345:0.315213:0.000000
=:@0.459801:0.330786:0.469917:0.330786:0.469917:0.315213:0.459801:0.315213:0.000000
⋅:@0.530638:0.330786:0.535245:0.330786:0.535245:0.315213:0.530638:0.315213:0.000000
=:@0.556345:0.330786:0.566461:0.330786:0.566461:0.315213:0.556345:0.315213:0.000000
–;:@0.472842:0.330108:0.501073:0.330108:0.501073:0.313719:0.472842:0.313719:0.000000:0.000000
....:@0.501995:0.330108:0.514323:0.330108:0.514323:0.313719:0.501995:0.313719:0.000000:0.000000:0.000000:0.000000
1:@0.421173:0.332112:0.426385:0.332112:0.426385:0.322614:0.421173:0.322614:0.000000
2:@0.450125:0.332112:0.455337:0.332112:0.455337:0.322614:0.450125:0.322614:0.000000
1:@0.523463:0.332112:0.528674:0.332112:0.528674:0.322614:0.523463:0.322614:0.000000
2:@0.546659:0.332112:0.551870:0.332112:0.551870:0.322614:0.546659:0.322614:0.000000
La expresión que se encuentra bajo el radical se denomina discriminante y su análisis permite determinar :@0.115209:0.367662:0.883844:0.367662:0.883844:0.351274:0.115209:0.351274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el tipo de soluciones de la ecuación cuadrática sin necesidad de resolverla, así::@0.115209:0.384259:0.687442:0.384259:0.687442:0.367870:0.115209:0.367870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.115209:0.407978:0.126745:0.407978:0.126745:0.391617:0.115209:0.391617:0.000000
 =   – 4  se denomina :@0.126745:0.407978:0.307270:0.407983:0.307270:0.391594:0.126745:0.391589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.145799:0.407978:0.155068:0.407978:0.155068:0.391617:0.145799:0.391617:0.000000
2:@0.155068:0.401936:0.160310:0.401936:0.160310:0.392381:0.155068:0.392381:0.000000
ac:@0.186587:0.407983:0.203522:0.407983:0.203522:0.391622:0.186587:0.391622:0.000000:0.000000
discriminante:@0.307270:0.407983:0.412103:0.407983:0.412103:0.391359:0.307270:0.391359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de la ecuación.:@0.412103:0.407983:0.525709:0.407983:0.525709:0.391594:0.412103:0.391594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación cuadrática fórmula general, análisis  :@0.115354:0.142339:0.802923:0.142339:0.802923:0.101602:0.115354:0.101602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las raíces:@0.115354:0.182585:0.301909:0.182585:0.301909:0.141849:0.115354:0.141849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.60. Aplicar las propiedades de las raíces de la ecuación de segundo grado con una incógnita para resolver problemas.:@0.125388:0.074999:0.698430:0.074999:0.698430:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
22:@0.043303:0.122645:0.087208:0.122645:0.087208:0.065614:0.043303:0.065614:0.000000:0.000000
=:@0.494220:0.448649:0.504337:0.448649:0.504337:0.433076:0.494220:0.433076:0.000000
>:@0.494220:0.469394:0.504337:0.469394:0.504337:0.453822:0.494220:0.453822:0.000000
<:@0.494220:0.490140:0.504337:0.490140:0.504337:0.474567:0.494220:0.474567:0.000000
⎧:@0.470080:0.447543:0.479183:0.447543:0.479183:0.431970:0.470080:0.431970:0.000000
⎨:@0.470080:0.469657:0.479183:0.469657:0.479183:0.454084:0.470080:0.454084:0.000000
⎪:@0.470080:0.459174:0.479183:0.459174:0.479183:0.443601:0.470080:0.443601:0.000000
⎩:@0.470080:0.492145:0.479183:0.492145:0.479183:0.476572:0.470080:0.476572:0.000000
⎪:@0.470080:0.483142:0.479183:0.483142:0.479183:0.467569:0.470080:0.467569:0.000000
Cuando:@0.411443:0.468717:0.468816:0.468717:0.468816:0.453047:0.411443:0.453047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0, existen dos soluciones reales iguales.:@0.506880:0.447971:0.798202:0.447971:0.798202:0.432302:0.506880:0.432302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
..:@0.520535:0.447971:0.526782:0.447971:0.526782:0.432302:0.520535:0.432302:0.000000:0.000000
.:@0.577071:0.447971:0.580277:0.447971:0.580277:0.432302:0.577071:0.432302:0.000000
.:@0.580111:0.447971:0.583318:0.447971:0.583318:0.432302:0.580111:0.432302:0.000000
..:@0.609172:0.447971:0.615419:0.447971:0.615419:0.432302:0.609172:0.432302:0.000000:0.000000
..:@0.691046:0.447971:0.697293:0.447971:0.697293:0.432302:0.691046:0.432302:0.000000:0.000000
..:@0.738423:0.447971:0.744670:0.447971:0.744670:0.432302:0.738423:0.432302:0.000000:0.000000
0, existen dos soluciones reales diferentes.:@0.506880:0.468717:0.816138:0.468717:0.816138:0.453047:0.506880:0.453047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.520535:0.468717:0.523741:0.468717:0.523741:0.453047:0.520535:0.453047:0.000000
.:@0.574049:0.468717:0.577255:0.468717:0.577255:0.453047:0.574049:0.453047:0.000000
.:@0.577089:0.468717:0.580295:0.468717:0.580295:0.453047:0.577089:0.453047:0.000000
..:@0.606149:0.468717:0.612396:0.468717:0.612396:0.453047:0.606149:0.453047:0.000000:0.000000
..:@0.688023:0.468717:0.694270:0.468717:0.694270:0.453047:0.688023:0.453047:0.000000:0.000000
..:@0.735401:0.468717:0.741648:0.468717:0.741648:0.453047:0.735401:0.453047:0.000000:0.000000
0, la ecuación no tiene soluciones reales.:@0.506880:0.489462:0.810221:0.489462:0.810221:0.473793:0.506880:0.473793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.. ..:@0.520535:0.489462:0.544749:0.489462:0.544749:0.473793:0.520535:0.473793:0.000000:0.000000:0.000000:0.000000:0.000000
..:@0.610130:0.489462:0.616377:0.489462:0.616377:0.473793:0.610130:0.473793:0.000000:0.000000
..:@0.635357:0.489462:0.641604:0.489462:0.641604:0.473793:0.635357:0.473793:0.000000:0.000000
..:@0.677759:0.489462:0.684006:0.489462:0.684006:0.473793:0.677759:0.473793:0.000000:0.000000
..:@0.759633:0.489462:0.765880:0.489462:0.765880:0.473793:0.759633:0.473793:0.000000:0.000000
D:@0.479238:0.447971:0.490774:0.447971:0.490774:0.432578:0.479238:0.432578:0.000000
D:@0.479238:0.468717:0.490774:0.468717:0.490774:0.453324:0.479238:0.453324:0.000000
D:@0.479238:0.489462:0.490774:0.489462:0.490774:0.474069:0.479238:0.474069:0.000000