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

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

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 $c$ .

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

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $3$ to the power of $2$ .

$9 - 4 (- 3 \cdot 2)$

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

Multiply $- 3$ by $2$ .

$9 - 4 \cdot - 6$

Multiply $- 4$ by $- 6$ .

$9 + 24$

Add $9$ and $24$ .

$33$