Question

Solve 4(x-1)^2 + 2 = 38.

Answer 1

X=-2,4

Just took the test the answer is correct

Answer 2

x = -2, 4

Explanation:

4(x-1)^2 + 2 = 38

Subtract 2 from each side

4(x-1)^2 + 2-2 = 38-2

4(x-1)^2 = 36

Divide each side by 4

4/4(x-1)^2 = 36/4

(x-1)^2 = 9

Take the square root of each side

sqrt((x-1)^2 ) =±sqrt( 9)

x-1 =

Add 1 to each side

x-1 +1= 1 ±3

x = 1 ±3

x = 1+3 = 4

1 - 3 = -2