Algebra Examples

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

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.

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Step 3.1

Simplify each term.

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Step 3.1.1

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

$400 - 4 (- 4 \cdot - 25)$

Step 3.1.2

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

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Step 3.1.2.1

Multiply $- 4$ by $- 25$ .

$400 - 4 \cdot 100$

Step 3.1.2.2

Multiply $- 4$ by $100$ .

$400 - 400$

Step 3.2

Subtract $400$ from $400$ .

$0$