# How do you solve x^2 + 2x + 10 = 0 using the quadratic formula?

Apr 30, 2018

$- 1 \pm 3 i$

#### Explanation:

Our equation is ${x}^{2} + 2 x + 10 = 0$ a = 1, b = 2, c = 10.

Now, using the quadratic formula $\frac{- b \pm \sqrt{{b}^{2} - 4 a c}}{2 a}$ , we just plug in our values:

$\frac{- 2 \pm \sqrt{{2}^{2} - \left(4 \cdot 1 \cdot 10\right)}}{2 \cdot 1}$

Now simplify.

$\frac{- 2 \pm \sqrt{4 - 40}}{2}$

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

$\frac{- 2 \pm 6 i}{2}$

$- 1 \pm 3 i$