To solve for the values of x, we need to first isolate x in the given equation:
(x – 7)^2 = 36
Taking the square root of both sides, we get:
x – 7 = ±6
Adding 7 to both sides, we get:
x = 7 ± 6
This gives us two possible values for x:
x = 13 or x = 1
Therefore, the correct answer is:
x = 13 or x = 1.
The other options (-29 and 42) are not solutions to the equation.