# How do you solve using the completing the square method x^2 + 4x + 2 = 0?

Mar 23, 2017

See below

#### Explanation:

${x}^{2} + 4 x + 2 = 0$

${\left(x + 2\right)}^{2} - 4 + 2 = 0$

${\left(x + 2\right)}^{2} - 2 = 0$

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

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

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