Find the Discriminant 8x^2+18x-5=0

$8 x^{2} + 18 x - 5 = 0$

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 $c$ .

$18^{2} - 4 (8 \cdot - 5)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $18$ to the power of $2$ .

$324 - 4 (8 \cdot - 5)$

Multiply $- 4 (8 \cdot - 5)$ .

Multiply $8$ by $- 5$ .

$324 - 4 \cdot - 40$

Multiply $- 4$ by $- 40$ .

$324 + 160$

Add $324$ and $160$ .

$484$