# How do you solve x^2 – 3x = -6x – 1 using the quadratic formula?

May 3, 2017

color(red)(x=(-3+sqrt5)/2=-0.382 to the nearest 3 decimal 
or

color(red)(x=(-3-sqrt5)/2=-2.618 to the nearest 3 decimal places

#### Explanation:

${x}^{2} - 3 x = - 6 x - 1$

${x}^{2} + 3 x + 1 = 0$

$x = \frac{- b \pm \sqrt{{b}^{2} - 4 a c}}{2 a}$

$x = \frac{- \left(3\right) \pm \sqrt{\left({3}^{2}\right) - 4 \left(1\right) \left(1\right)}}{2 \left(1\right)}$

$x = \frac{- 3 \pm \sqrt{9 - 4}}{2}$

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

color(red)(x=(-3+sqrt5)/2=-0.382 to the nearest 3 decimal places

or

color(red)(x=(-3-sqrt5)/2=-2.618# to the nearest 3 decimal places