Respuesta :

mreijepatmat
(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:

[tex]x=1\text{ or }x=13[/tex]

Step-by-step explanation:

We have been given an equation [tex](x-7)^2=36[/tex]. 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.

[tex]x-7=\pm\sqrt{36}[/tex]

[tex]x-7=\pm\sqrt{6^2}[/tex]

[tex]x-7=\pm 6[/tex]

[tex]x-7=-6\text{ or }x-7=6[/tex]

[tex]x-7+7=-6+7\text{ or }x-7+7=6+7[/tex]

[tex]x=1\text{ or }x=13[/tex]

Therefore, the solution for our given equation are [tex]x=1\text{ or }x=13[/tex].