Question

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

Answer 1

1x

Explanation:

Firstly lets expand the brackets for the equation

(x - 7 )2 = 36

If we multiply what's in the brackets by 2 we get this:

2x - 14 = 36

Add 14 to both sides:

2x = 50

Divide both sides by 2:

x = 25

Answer = 1x (Only possible solution

Answer 2

The two solutions to the given equation are x = 13 and x = 1.

Explanation:

To solve the given equation (x - 7)² = 36, begin by square rooting both sides:

`\implies √((x-7)^2)=√(36)`

`\implies x-7=\pm6`

Now add 7 to both sides of the equation:

`\implies x-7+7=\pm6+7`

`\implies x=7\pm6`

Therefore, the two solutions are:

`\implies x=7+6=13`

`\implies x=7-6=1`