# How do you find all the complex roots of x^2=-20?

Jan 10, 2016

Take the square root of both sides ...

#### Explanation:

${x}^{2} = - 20$

$x = \pm \sqrt{- 20} = \pm 2 i \sqrt{5}$

So the two complex roots are ...

$x = 2 i \sqrt{5} \text{ or } x = - 2 i \sqrt{5}$

hope that helped