Find the Discriminant -7x^2+5x-2=0

$- 7 x^{2} + 5 x - 2 = 0$

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 $c$ .

$5^{2} - 4 (- 7 \cdot - 2)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $5$ to the power of $2$ .

$25 - 4 (- 7 \cdot - 2)$

Multiply $- 4 (- 7 \cdot - 2)$ .

Multiply $- 7$ by $- 2$ .

$25 - 4 \cdot 14$

Multiply $- 4$ by $14$ .

$25 - 56$

Subtract $56$ from $25$ .

$- 31$