# How do you find the discriminant x^2+2x+8=0?

Feb 28, 2016

$D = - 28$

#### Explanation:

The discriminant can be found by using the discriminant formula:

${b}^{2} - 4 a c$

Finding the Discriminant
$1$. Determine the $a$, $b$, and $c$ values of the quadratic equation. In your case, $a = 1$, $b = 2$, and $c = 8$. Substitute these values into the discriminant formula.

${b}^{2} - 4 a c$

$= {\left(2\right)}^{2} - 4 \left(1\right) \left(8\right)$

$2$. Solve.

$= 4 - 32$

$= \textcolor{g r e e n}{- 28}$

$\therefore$, the discriminant is $- 28$.