# How do you solve \sqrt { - 5x - 9} = 11?

Dec 19, 2016

$x = - 26$

#### Explanation:

Given -

$\sqrt{- 5 x - 9} = 11$

To eliminate the root, square both sides

${\left(\sqrt{- 5 x - 9}\right)}^{2} = {11}^{2}$

$- 5 x - 9 = 121$

Add $9$to both sides

$- 5 x - 9 + 9 = 121 + 9$
$- 5 x \cancel{- 9} \cancel{+ 9} = 130$
Divide both sides by $- 5$
$\frac{- 5 x}{- 5} = \frac{130}{- 5}$
$\frac{\cancel{- 5} x}{\cancel{- 5}} = \frac{130}{- 5}$
$x = - 26$