Find the Discriminant 11x^2+12x+7=0

$11 x^{2} + 12 x + 7 = 0$

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 $c$ .

$12^{2} - 4 (11 \cdot 7)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

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

$144 - 4 (11 \cdot 7)$

Multiply $- 4 (11 \cdot 7)$ .

Multiply $11$ by $7$ .

$144 - 4 \cdot 77$

Multiply $- 4$ by $77$ .

$144 - 308$

Subtract $308$ from $144$ .

$- 164$