Matematicas

Ejercicio 267 pág. 451 del 6-10
Resolver las siguientes ecuaciones aplicando la formula particular:
6 )
X2 - (7x + 6)= x + 59
X2 - 7x – 6 – x – 59 =0
X2 – 8x – 65 = 0
Formula particular
X=--82 ± -824+65
x=82±644+65(4)4x=82±64+2604
x=82±3244
x=82±182

x1=82+182=262= 13
x2=82-182=-102= -5

7)
x-12+11x+199=3x2-(x-2)2x2-x-x+1+11x+199=3x2-(x2-2x-2x+4x)
x2-2x+1+11x+199=3x2-x2+4x-4
x2+9x+200=3x2-x2+4x-4
x2+9x+200-2x2-4x+4=0
-x2+5x+204=0
--x2+5x+204=0x2-5x-204=0
x=-(-5)2±-524+204
x=52±25+204(4)4
x=52±25+8164
x=52±8414
x=52±292
x1 =52+292=342=17
x1=52-292=-242=-12

8)x-2x+2-7x-1=21
x2+2x-2x-4--7x+7-21=0
x=-(-7)2±-724+18
x=72±494+18(4)4= 71±49+724
x=72±1214
x= 72±112x1=72+112=182=9
x2=72-112=-42= -2

9)
2x2-x-2x+5=7(x+3)
2x2-x2+5x-2x-10=7x+21
2x2-x2+3x-10=7x+21
2x2-x2-3x+10=7x+21x2-3x+10=7x+21
x2-3x+10-7x-21=0
x2-10x-11=0
x2-10x-11=0

x=-(-10)2±1024+11(4)4=102±100+444

x=102±1444=102±122
x1=102+122=222=11
x2=102-122=-22=-1

10)
x-2x+2-2x-3x+4-x+14=o
x2+2x-x-2-2x2+8-3x-12-x+14=0
x2+x-2-2x2-5x+12-x+14=0-x2-5x+24=0
-(-x2-5x+24=0
Formula particular
x=-52±524-24(4)4=-54±1214
x=-54±114
x1=-54+114=64=3
x2=-54-114=-164=-8