Find the Discriminant 3x^2+4x-10=0

$3 x^{2} + 4 x - 10 = 0$

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 $c$ .

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

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $4$ to the power of $2$ .

$16 - 4 (3 \cdot - 10)$

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

Multiply $3$ by $- 10$ .

$16 - 4 \cdot - 30$

Multiply $- 4$ by $- 30$ .

$16 + 120$

Add $16$ and $120$ .

$136$