# How do you solve 2(x-5)^2=3  and simplify the answer in simplest radical form?

Mar 15, 2017

$x = 5 \pm \sqrt{\frac{3}{2}}$

#### Explanation:

$2 {\left(x - 5\right)}^{2} = 3$

${\left(x - 5\right)}^{2} = \frac{3}{2}$

$x - 5 = \pm \sqrt{\frac{3}{2}}$

$x = 5 \pm \sqrt{\frac{3}{2}}$