Question

HELP ASAP 30 POINTS! GIVING BRAINLIEST TO THE CORRECT ANSWER

Which equation has the same solution as this equation?

x^2-16x+12=0

A) (x-8)^2 = 144

B) (x-4)^2 =4

C) (x-8)^2 = 52

D) (x-4)^2 = 16

Answer 1

(x-4)^2 = 16

(x-4)*(x-4) = 16

FOIL

x*x = x^2

-4 x -4 = 16

-4x + -4x = -8x

x^2-8x+16= 16

SUBTRACT BOTH SIDES

x^2-8x+16= 16
-16 -16

x^2-8x = 0

(x-4)^2 = x^2-16x+12

Correct answer is D