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

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

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 $c$ .

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

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

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

$9 - 4 (2 \cdot - 5)$

Multiply $- 4 (2 \cdot - 5)$ .

Multiply $2$ by $- 5$ .

$9 - 4 \cdot - 10$

Multiply $- 4$ by $- 10$ .

$9 + 40$

Add $9$ and $40$ .

$49$