Find the Discriminant f(x)=4x^2+6x-5

$f (x) = 4 x^{2} + 6 x - 5$

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 $c$ .

$6^{2} - 4 (4 \cdot - 5)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $6$ to the power of $2$ .

$36 - 4 (4 \cdot - 5)$

Multiply $- 4 (4 \cdot - 5)$ .

Multiply $4$ by $- 5$ .

$36 - 4 \cdot - 20$

Multiply $- 4$ by $- 20$ .

$36 + 80$

Add $36$ and $80$ .

$116$