Find the Discriminant f(x)=-4x^2+10x-8

$f (x) = - 4 x^{2} + 10 x - 8$

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 $c$ .

$10^{2} - 4 (- 4 \cdot - 8)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $10$ to the power of $2$ .

$100 - 4 (- 4 \cdot - 8)$

Multiply $- 4 (- 4 \cdot - 8)$ .

Multiply $- 4$ by $- 8$ .

$100 - 4 \cdot 32$

Multiply $- 4$ by $32$ .

$100 - 128$

Subtract $128$ from $100$ .

$- 28$