Find the Discriminant -3x^2+9x-2=0

$- 3 x^{2} + 9 x - 2 = 0$

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 $c$ .

$9^{2} - 4 (- 3 \cdot - 2)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $9$ to the power of $2$ .

$81 - 4 (- 3 \cdot - 2)$

Multiply $- 4 (- 3 \cdot - 2)$ .

Multiply $- 3$ by $- 2$ .

$81 - 4 \cdot 6$

Multiply $- 4$ by $6$ .

$81 - 24$

Subtract $24$ from $81$ .

$57$