Find the Discriminant 3x^2+3x-1=0

$3 x^{2} + 3 x - 1 = 0$

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 $c$ .

$3^{2} - 4 (3 \cdot - 1)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

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

$9 - 4 (3 \cdot - 1)$

Multiply $- 4 (3 \cdot - 1)$ .

Multiply $3$ by $- 1$ .

$9 - 4 \cdot - 3$

Multiply $- 4$ by $- 3$ .

$9 + 12$

Add $9$ and $12$ .

$21$