Question

Detemine which equation has the same solutions as the equation below.4X² + 32X - 28 = 0A. (X+4)²=23B. 4(X+4)²=36C. (X+8)²=57D. 4(X+8)²=28

Answer 1

Given:

The equation is

$4X^2+32X-28=0$

Required:

Determine which equation has the same solutions as the equation below.

Explanation:

We have

$\begin{gathered} 4X^2+32X-28=0 \\ \text{ We can write it as} \\ X^2+8X-7=0 \\ X^2+2\times4\times X-7+16=16 \\ X^2+2\times4\times X+16=23 \\ (X+4)^2=23 \end{gathered}$

Answer:

Option A is correct.