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

Aug 7, 2018

$x = 3 \pm \sqrt{10}$

#### Explanation:

The quadratic formula is given by

$x = \frac{- b \pm \sqrt{{b}^{2} - 4 a c}}{2 a}$
where your quadratic equation is $y = a {x}^{2} + b x + c$

$x = \frac{6 \pm \sqrt{{\left(- 6\right)}^{2} - 4 \left(1\right) \left(- 1\right)}}{2 \times 1}$

$x = \frac{6 \pm \sqrt{36 + 4}}{2}$

$x = \frac{6 \pm \sqrt{40}}{2}$

$x = \frac{6 \pm 2 \sqrt{10}}{2}$

$x = 3 \pm \sqrt{10}$