# How do you find the zeros, if any, of y= -7x^2-x+22using the quadratic formula?

May 23, 2018

$x = - \frac{1 + \sqrt{617}}{14} \mathmr{and} - \frac{1 - \sqrt{617}}{14}$

$x = - 1.846 \mathmr{and} 1.702$

#### Explanation:

Given $a {x}^{2} + b x + c$, the zeros are given by:
$x = \frac{- b \pm \sqrt{{b}^{2} - 4 a c}}{2 a}$

$a = - 7$
$b = - 1$
$c = 22$

$x = \frac{1 \pm \sqrt{{\left(- 1\right)}^{2} - 4 \left(- 7\right) \left(22\right)}}{2 \left(- 7\right)}$

$x = \frac{1 \pm \sqrt{1 + 616}}{-} 14$

$x = - \frac{1 \pm \sqrt{617}}{14}$

$x = - \frac{1 + \sqrt{617}}{14} \mathmr{and} - \frac{1 - \sqrt{617}}{14}$

$x = - 1.846 \mathmr{and} 1.702$