# How do you solve the equation x^2+2x=17 by completing the square?

Dec 6, 2016

$x = - 1 \pm \sqrt{18}$
${x}^{2} + 2 x = 17$
${\left(x + 1\right)}^{2} - 1 = 17$
${\left(x + 1\right)}^{2} = 18$
$x + 1 = \pm \sqrt{18}$
$x = - 1 \pm \sqrt{18}$