Question

Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42

Answer 1

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.