# How do you solve the equation x^2-10x=-24 by using the quadratic formula?

Apr 8, 2017

${x}_{1} = 6$

${x}_{2} = 4$

#### Explanation:

The first thing we must do before we solve any algebraic equation is put it in standard form.

${x}^{2} - 10 x + 24 = 0$

$x = \frac{10 \pm \sqrt{100 - 4 \left(24\right) \left(1\right)}}{2} = \frac{10 \pm \sqrt{4}}{2} = \frac{12}{2}$ or $\frac{8}{2} = 6 , 4$