# How do you solve  x-sqrt(2x+3) =-2?

Apr 17, 2016

Isolate the square root.

#### Explanation:

$x + 2 = \sqrt{2 x + 3}$

Square both sides of the equation to get rid of the square root.

${\left(x + 2\right)}^{2} = {\left(\sqrt{2 x + 3}\right)}^{2}$

${x}^{2} + 4 x + 4 = 2 x + 3$

${x}^{2} + 2 x + 1 = 0$

$\left(x + 1\right) \left(x + 1\right) = 0$

$x = - 1$

Checking your solution in the original equation, we find our solution works. This is vital with radical equations, since extraneous solutions can arise during the solving process.

Hopefully this helps!