# How do you solve (x - 5)^2 = 2?

Sep 8, 2016

$x = \sqrt{2} + 5 = 6.414$

$x = - \sqrt{2} + 5 = 3.586$

#### Explanation:

Usually we would multiply out the bracket and make the whole equation equal to 0.

However, this is a special case because there is no x-term, so we can leave it as it is and just find the square root of both sides.

${\left(x - 5\right)}^{2} = 2$

$x - 5 = \pm \sqrt{2}$

$x = \sqrt{2} + 5 = 6.414$

$x = - \sqrt{2} + 5 = 3.586$