Question

Halla la solución de las ecuaciones cuadráticas utilizando el método de factorizacion
a- x2-10x+25=0
b- 4x2-20x+25=0
c- 2x² - 2 = -3x
d- x² - 6x= 7

Answer 1

A) x²-10x+25 =0 .. (x-5)(x-5)=0
X-5=0. & x-5=0
X= 5.. & .. X=5

B) 4x² - 20x +25=0 aspa
2x . - 5 = - 10x
2x . - 5 = - 10x
-10x - 10x = - 20x
(2x - 5) (2x - 5) = 0
2x - 5 =0 & 2x - 5= 0
X =5/2 & x = 5/2

C) 2x²+3x - 2 =0 Multiplicas x 2
(2x)² +3 (2x) - 4 =0
___________
2
(2x +4) (2x - 1)=0
_____________
2

2(x+2) (2x - 1) =0
__________
2
(x + 2) (2x - 1)=0
X +2 =0 & . 2x - 1 =0
X = - 2 & x = 1/2

D) x² - 6x - 7 =0
(x - 7) (x +1) = 0
X-7 =0 & x + 1 = 0
X = 7 & . X= - 1