Find the Discriminant 2a^2+7a+3=0

$2 a^{2} + 7 a + 3 = 0$

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 $c$ .

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

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

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

$49 - 4 (2 \cdot 3)$

Multiply $- 4 (2 \cdot 3)$ .

Multiply $2$ by $3$ .

$49 - 4 \cdot 6$

Multiply $- 4$ by $6$ .

$49 - 24$

Subtract $24$ from $49$ .

$25$