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

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

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 $c$ .

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

Evaluate the result to find the discriminant.

Simplify each term.

Raise $9$ to the power of $2$ .

$81 - 4 (2 \cdot 7)$

Multiply $2$ by $7$ .

$81 - 4 \cdot 14$

Multiply $- 4$ by $14$ .

$81 - 56$

Subtract $56$ from $81$ .

$25$