Find the Discriminant -5x^2+8x-3=0

$- 5 x^{2} + 8 x - 3 = 0$

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 $c$ .

$8^{2} - 4 (- 5 \cdot - 3)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $8$ to the power of $2$ .

$64 - 4 (- 5 \cdot - 3)$

Multiply $- 4 (- 5 \cdot - 3)$ .

Multiply $- 5$ by $- 3$ .

$64 - 4 \cdot 15$

Multiply $- 4$ by $15$ .

$64 - 60$

Subtract $60$ from $64$ .

$4$