# How do you solve x^2 + 6x = 1?

Mar 9, 2018

$x = - 3 \pm \sqrt{10}$
$x \approx 0.16228 \mathmr{and} \approx - 6.16228$

#### Explanation:

${x}^{2} + 6 x = 1$

${x}^{2} + 6 x - 1 = 0$

$x = \frac{- 6 \pm \sqrt{{6}^{2} - 4 \times 1 \times \left(- 1\right)}}{2 \times 1}$

$= - 3 \pm \frac{\sqrt{40}}{2}$

$= - 3 \pm \frac{\sqrt{2 \times 2 \times 2 \times 5}}{2}$

$= - 3 \pm \frac{2 \sqrt{10}}{2}$

$= - 3 \pm \sqrt{10}$

$x = - 3 \pm \sqrt{10}$

$x \approx 0.16228 \mathmr{and} \approx - 6.16228$