Explanation:
To solve the given equation, we can start by taking the square root of both sides of the equation:
(x – 7)^2 = 36
√((x – 7)^2) = ±√36
x – 7 = ±6
Now, we can solve for x by adding 7 to both sides of the equation for each case:
x – 7 = 6 or x – 7 = -6
x = 13 or x = 1
Therefore, the values of x that satisfy the equation are x = 13 and x = 1. The other values, x = -29 and x = 42, do not satisfy the equation.