# How do you solve using the quadratic formula method x^2 – 7x + 9 = 0?

May 20, 2017

$x = \frac{7}{2} \pm \frac{\sqrt{13}}{2}$

#### Explanation:

Since the equation cannot be simplified further, let $a = 1 , b = - 7 , \mathmr{and} c = 9$.

Plugging it into the quadratic formula, which is this ↓ $\frac{- b \pm \sqrt{{b}^{2} - 4 a c}}{2 a}$.

$\frac{- \left(- 7\right) \pm \sqrt{{\left(- 7\right)}^{2} - 4 \cdot 1 \cdot 9}}{2 \cdot 1}$

$\frac{7 \pm \sqrt{49 - 36}}{2}$

$\frac{7 \pm \sqrt{13}}{2}$

$x = \frac{7}{2} \pm \frac{\sqrt{13}}{2}$