Find the Discriminant x^2+12x+32=0

$x^{2} + 12 x + 32 = 0$

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 $c$ .

$12^{2} - 4 (1 \cdot 32)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $12$ to the power of $2$ .

$144 - 4 (1 \cdot 32)$

Multiply $- 4 (1 \cdot 32)$ .

Multiply $32$ by $1$ .

$144 - 4 \cdot 32$

Multiply $- 4$ by $32$ .

$144 - 128$

Subtract $128$ from $144$ .

$16$