# What is the quadratic formula for x^2-7x-6=0?

May 16, 2018

$x = 7.53$ and $x = - 0.53$

#### Explanation:

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

The coefficient for $a = 1$, $b = - 7$ and $c = - 6$. Substitute these values in to the quadratic formula:

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

Solutions:

$x = 7.53$
$x = - 0.53$