# How do you solve x^2 +10x = 4 by completing the square?

Jul 29, 2016

$x = - 5 + \sqrt{29}$
$x = - 5 - \sqrt{29}$

#### Explanation:

${x}^{2} + 10 x = 4$
or
${x}^{2} + 10 x + 25 = 4 + 25$
or
${x}^{2} + 2 \left(x\right) \left(5\right) + {5}^{2} = 29$
or
${\left(x + 5\right)}^{2} = 29$
or
$x + 5 = \pm \sqrt{29}$
or
$x = - 5 \pm \sqrt{29}$
or
$x = - 5 + \sqrt{29}$========Ans $1$
or
$x = - 5 - \sqrt{29}$=========Ans $2$