Question

What are the possible values of x if (4x – 5)2 = 49? Check all that apply.

Answer 1

B and C

Explanation:

taken on edge2020

Answer 2

3, -1/2

Explanation:

(4x – 5)^2 = 49

Take the square root of each side

sqrt((4x – 5)^2) = ±sqrt(49)

4x-5 = ±7

Add 5 to each side

4x -5 + 5 = 5 ±7

4x = 5±7

Divide each side by 4

4x/4 = (5±7)/4

x = (5±7)/4

First take the positive

x =( 5+7) /4 = 12/4 = 3

Then the negative

x = (5-7) /4 = -2/4 = -1/2