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

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

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 $c$ .

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

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

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

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

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

Multiply $- 2$ by $- 3$ .

$4 - 4 \cdot 6$

Multiply $- 4$ by $6$ .

$4 - 24$

Subtract $24$ from $4$ .

$- 20$