Find the Discriminant x^2+12+36=0

$x^{2} + 12 + 36 = 0$

Step 1

Simplify the left side.

Add $12$ and $36$ .

$x^{2} + 48 = 0$

Step 2

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

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

Step 3

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

$0^{2} - 4 (1 \cdot 48)$

Step 4

Evaluate the result to find the discriminant.

Simplify each term.

Raising $0$ to any positive power yields $0$ .

$0 - 4 (1 \cdot 48)$

Multiply $- 4 (1 \cdot 48)$ .

Multiply $48$ by $1$ .

$0 - 4 \cdot 48$

Multiply $- 4$ by $48$ .

$0 - 192$

Subtract $192$ from $0$ .

$- 192$