Answer:
x = 10 and x = -2
Step-by-step explanation:
The equation has 2 solutions because we have a square. When things are squares, we get a positive and negative solution.
(x-4)^2 - 28 = 8
Add 28 to each side
(x-4)^2 - 28+28 = 8+28
(x-4)^2 = 36
Take the square root of each side
sqrt((x-4)^2) = ±sqrt(36)
x-4 = ±6
Add 4 to each side
x-4+4 = 4 ±6
x = 4 ±6
x = 4+6 and x = 4-6
x = 10 and x = -2
