# How do you solve the equation x^2-16x=-20 by completing the square?

Jun 4, 2017

$x = 8 \pm 2 \sqrt{11}$

#### Explanation:

${x}^{2} - 16 x = - 20$

${x}^{2} - 16 x + {8}^{2} - {8}^{2} = - 20$

${\left(x - 8\right)}^{2} - 64 = - 20$

${\left(x - 8\right)}^{2} = 44$

$x - 8 = \pm \sqrt{44} = \pm 2 \sqrt{11}$

$x = 8 \pm 2 \sqrt{11}$