Algebra Examples

3 x^{2} - 10 = 0

$3 x^{2} - 10 = 0$

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

$c$ .

0^{2} - 4 (3 \cdot - 10)

$0^{2} - 4 (3 \cdot - 10)$

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

Raising

0

$0$ to any positive power yields

0

$0$ .

0 - 4 (3 \cdot - 10)

$0 - 4 (3 \cdot - 10)$

Step 3.1.2

Multiply

- 4 (3 \cdot - 10)

$- 4 (3 \cdot - 10)$ .

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Step 3.1.2.1

Multiply

3

$3$ by

- 10

$- 10$ .

0 - 4 \cdot - 30

$0 - 4 \cdot - 30$

Step 3.1.2.2

Multiply

- 4

$- 4$ by

- 30

$- 30$ .

0 + 120

$0 + 120$

0 + 120

$0 + 120$

0 + 120

$0 + 120$

Step 3.2

Add

0

$0$ and

120

$120$ .

120

$120$

120

$120$