Question

How do you solve `(x – 6)^2 = 2`?

Answer 1

`x =7.414 or 4.586`

Explanation:

This is in the form `x^2 = y`, so we can just find the square root of both sides without having to multiply out first.

`(x - 6)^2 = 2`

`x - 6= +-sqrt2`

`x = +sqrt2 +6 = 7.414`

`x = -sqrt2 +6 = 4.586`