Question

Given (x – 7)^2 = 36, select the values of x.

Answer 1

(x-7)² = 36

The square root of both is √(x-7)² =√6²

x-7 = + or - 6


x-7 = 6 , then x = 13

x-7 = -6, then x = 1


So the values of x are 13 or 1

Answer 2

Answer:

$x=1\text{ or }x=13$

Step-by-step explanation:

We have been given an equation $(x-7)^2=36$. We are asked to solve the given equation for x.

To solve our given equation, we will take square root of both sides of equation.

$x-7=\pm\sqrt{36}$

$x-7=\pm\sqrt{6^2}$

$x-7=\pm 6$

$x-7=-6\text{ or }x-7=6$

$x-7+7=-6+7\text{ or }x-7+7=6+7$

$x=1\text{ or }x=13$

Therefore, the solution for our given equation are $x=1\text{ or }x=13$.