Find the Discriminant -4m^2-4m+5=0

$- 4 m^{2} - 4 m + 5 = 0$

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 $c$ .

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

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

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

$16 - 4 (- 4 \cdot 5)$

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

Multiply $- 4$ by $5$ .

$16 - 4 \cdot - 20$

Multiply $- 4$ by $- 20$ .

$16 + 80$

Add $16$ and $80$ .

$96$