Find the Discriminant x^2+8x+13=0

$x^{2} + 8 x + 13 = 0$

Step 1

The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

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

Step 2

Substitute in the values of $a$ , $b$ , and $c$ .

$8^{2} - 4 (1 \cdot 13)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $8$ to the power of $2$ .

$64 - 4 (1 \cdot 13)$

Multiply $- 4 (1 \cdot 13)$ .

Multiply $13$ by $1$ .

$64 - 4 \cdot 13$

Multiply $- 4$ by $13$ .

$64 - 52$

Subtract $52$ from $64$ .

$12$