Answer:
x = -2, 4
Step-by-step 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
