Question

Check ALL of the CORRECT answers

Answer 1

Your equation is

`(x-8)^2 = 7`

So, you're asking that the left hand side, squared, must be 7.

There are only two possibilities for a number to give 7 then squared: that number is even the square root of 7 or its opposite.

So, one solution is given by
`x-8 = √(7) \implies x = 8+√(7)`.

The other is given by
`x-8 = -√(7) \implies x = 8-√(7)`.