what are the solutions for the quadratic equation x2-8x=32

Question

answer choice;

A) -2, 16

B) 2, -16

C) 4+4 q square root 3

D) -4+4 square root 3

Answer 1

x²-8x=32

 

Here we can use completing square method

 

x² -8x +(-8/2)² = 32 +(-8/2)²

 

x²-8x+(-4)² =32+(-4)²

 

x²-8x+  16 = 32+16

 

x²-8x+16 = 48

 

(x-4)²  = 48

 

taking square root of both sides

 

(x-4) =√48

 

x -4 = √ (16*3)

 

x-4 = ±4√3

 

x =± 4√3 + 4

 

so choice C is one of the root

Answer 2

The answer is C