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

3, - 1/2

Step-by-step 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