Find the Discriminant -9x^2-6x-2=0

$- 9 x^{2} - 6 x - 2 = 0$

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 $c$ .

${(- 6)}^{2} - 4 (- 9 \cdot - 2)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $- 6$ to the power of $2$ .

$36 - 4 (- 9 \cdot - 2)$

Multiply $- 4 (- 9 \cdot - 2)$ .

Multiply $- 9$ by $- 2$ .

$36 - 4 \cdot 18$

Multiply $- 4$ by $18$ .

$36 - 72$

Subtract $72$ from $36$ .

$- 36$