# How do you solve 5x^2-8x=6 using the quadratic formula?

Jun 11, 2018

#### Answer:

$x = \frac{4 \pm \sqrt{46}}{5}$

#### Explanation:

$5 {x}^{2} - 8 x = 6$
$5 {x}^{2} - 8 x - 6 = 0$

Remember the general form of an equation is $a {x}^{2} + b x + c = 0$ where a,b and c are constants.
Using the quadratic formula.
$x = \frac{- b \pm \sqrt{{b}^{2} - 4 a c}}{2 a}$

$x = \frac{8 \pm \sqrt{64 + 120}}{2 \times 5}$

$x = \frac{8 \pm \sqrt{184}}{10}$

$x = \frac{8 \pm 2 \sqrt{46}}{10}$

$x = \frac{4 \pm \sqrt{46}}{5}$