Find the Discriminant -3x^2+7x-1=0

$- 3 x^{2} + 7 x - 1 = 0$

The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

$b^{2} - 4 (a c)$

Substitute in the values of $a$ , $b$ , and $c$ .

$7^{2} - 4 (- 3 \cdot - 1)$

Evaluate the result to find the discriminant.

Simplify each term.

Raise $7$ to the power of $2$ .

$49 - 4 (- 3 \cdot - 1)$

Multiply $- 3$ by $- 1$ .

$49 - 4 \cdot 3$

Multiply $- 4$ by $3$ .

$49 - 12$

Subtract $12$ from $49$ .

$37$