# How do you solve 2(sqrt x) + 5/6 = 13/6?

Jan 15, 2016

$x = \frac{4}{9}$

#### Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} 2 \left(\sqrt{x}\right) + \frac{5}{6} = \frac{13}{6}$

Subtract $\frac{5}{6}$ from both sides:
$\textcolor{w h i t e}{\text{XXX}} 2 \left(\sqrt{x}\right) = \frac{8}{6} = \frac{4}{3}$

Divide both sides by 2
$\textcolor{w h i t e}{\text{XXX}} \sqrt{x} = \frac{2}{3}$

Square both sides
$\textcolor{w h i t e}{\text{XXX}} x = \frac{4}{9}$