Find the Discriminant 3g^2+15g+10=0

$3 g^{2} + 15 g + 10 = 0$

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 $c$ .

$15^{2} - 4 (3 \cdot 10)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $15$ to the power of $2$ .

$225 - 4 (3 \cdot 10)$

Multiply $- 4 (3 \cdot 10)$ .

Multiply $3$ by $10$ .

$225 - 4 \cdot 30$

Multiply $- 4$ by $30$ .

$225 - 120$

Subtract $120$ from $225$ .

$105$