Algebra Examples

- 4 x^{2} + 20 x - 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)

$b^{2} - 4 (a c)$

Step 2

Substitute in the values of

a

$a$ ,

b

$b$ , and

c

$c$ .

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

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

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

$20$ to the power of

2

$2$ .

400 - 4 (- 4 \cdot - 25)

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

Step 3.1.2

Multiply

- 4 (- 4 \cdot - 25)

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

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Step 3.1.2.1

Multiply

- 4

$- 4$ by

- 25

$- 25$ .

400 - 4 \cdot 100

$400 - 4 \cdot 100$

Step 3.1.2.2

Multiply

- 4

$- 4$ by

100

$100$ .

400 - 400

$400 - 400$

400 - 400

$400 - 400$

400 - 400

$400 - 400$

Step 3.2

Subtract

400

$400$ from

400

$400$ .

0

$0$

0

$0$