# How do you solve (x – 6)^2 = 2?

Jul 16, 2016

$x = 7.414 \mathmr{and} 4.586$

#### 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.

${\left(x - 6\right)}^{2} = 2$

$x - 6 = \pm \sqrt{2}$

$x = + \sqrt{2} + 6 = 7.414$

$x = - \sqrt{2} + 6 = 4.586$