Find the Discriminant 2x^2+6x-3=0

$2 x^{2} + 6 x - 3 = 0$

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 $c$ .

$6^{2} - 4 (2 \cdot - 3)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $6$ to the power of $2$ .

$36 - 4 (2 \cdot - 3)$

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

Multiply $2$ by $- 3$ .

$36 - 4 \cdot - 6$

Multiply $- 4$ by $- 6$ .

$36 + 24$

Add $36$ and $24$ .

$60$