What is (are) the solution(s) to the equation
2
(x−4)
2
=50

x = 9 and x = -1

Step-by-step explanation:

This equation should be written all on one line:

2(x - 4)^2 = 50

using " ^ " to denote exponentiation.

Dividing both sides by 2 yields

(x - 4)^2 = 25

We must solve for x - 4, and then for x alone:

Taking the square root of both sides, we get:

x - 4 = ±5

which yields two separate solutions:  x = 9 and x = -1