Question

Resuelve las siguientes ecuaciones
A)(x+3)^2=25
B)(x+7)^2 -4 =45
C)(x-5)^2+x-8=x+19
D)(x-4)+3=18

Answer 1

A)(x+3)^2=25
x^2+6x+9=25
x^2+6x-16=0
(x+8)(x-2)=0
x=-8
x=2
___________
B)(x+7)^2-4=45
x^2+14x+49-4-45=0
x^2+14x=0
x(x+14)=0
x=-14
x=0
_____________
C)(x-5)^2+x-8=x+19
x^2-10x+25+x-8-x-19=0
x^2-10x-2=0
x1 = 5-3 sqrt(3)
x2 = 5+3 sqrt(3)
______________
D)x=19