Question

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

x = 13



x = 1



x = –29



x = 42

Answer 1

The answer is below:
13 & 1

Answer 2

we have

`(x-7)^(2) =36`

square root on both sides

`(x-7)=(+/-)√(36)`

`(x-7)=(+/-)6`

`x=(+/-)6+7`

`x1=6+7=13`

`x2=-6+7=1`

therefore

the answer is

`x1=13`

`x2=1`