# How do you solve 12x-20=x^2 using the quadratic formula?

Apr 24, 2016

$x = 2 , 10$

#### Explanation:

Let us re-write the equation in the standard form ${x}^{2} - 12 x + 20 = 0$

Here, we are given a quadratic equation.
The standard form of a quadratic equation is $a {x}^{2} + b x + c = 0$

This means the equation has 2 roots.

The quadratic formula to find the roots of the equation is

${x}_{1 , 2} = \frac{- b \pm \sqrt{{b}^{2} - 4 a c}}{2 a}$

The step-by-step walk through to solving the equation is shown below.