Find the Discriminant 9x^2+10x+7=0

$9 x^{2} + 10 x + 7 = 0$

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 $c$ .

$10^{2} - 4 (9 \cdot 7)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $10$ to the power of $2$ .

$100 - 4 (9 \cdot 7)$

Multiply $- 4 (9 \cdot 7)$ .

Multiply $9$ by $7$ .

$100 - 4 \cdot 63$

Multiply $- 4$ by $63$ .

$100 - 252$

Subtract $252$ from $100$ .

$- 152$