# What are the solutions of x^2-8-5x?

Jan 21, 2018

${x}^{2} - 5 x - 8$
for any quadratic equation $a {x}^{2} + b x + c$ the roots are given by
$x = \frac{- b \pm \sqrt[]{{b}^{2} - 4 a c}}{2 a}$
so using the above formula
$x = \frac{5 \pm \sqrt[]{25 - 4 \cdot 1 \cdot \left(- 8\right)}}{2}$
which is
$x = \frac{5 \pm \sqrt[]{25 + 32}}{2}$
the roots are
$x = \frac{5 + \sqrt[]{57}}{2} \mathmr{and} \frac{5 - \sqrt[]{57}}{2}$
hope you find it helpful :)