Find the Discriminant 4x^2+20x+25=0

$4 x^{2} + 20 x + 25 = 0$

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 $c$ .

$20^{2} - 4 (4 \cdot 25)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $20$ to the power of $2$ .

$400 - 4 (4 \cdot 25)$

Multiply $- 4 (4 \cdot 25)$ .

Multiply $4$ by $25$ .

$400 - 4 \cdot 100$

Multiply $- 4$ by $100$ .

$400 - 400$

Subtract $400$ from $400$ .

$0$