Precalculus Examples

2 x^{2} - x = 0

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

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

$c$ .

${(- 1)}^{2} - 4 (2 \cdot 0)$

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

$- 1$ to the power of

$2$ .

$1 - 4 (2 \cdot 0)$

Step 3.1.2

Multiply

$- 4 (2 \cdot 0)$ .

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Step 3.1.2.1

Multiply

$2$ by

$0$ .

$1 - 4 \cdot 0$

Step 3.1.2.2

Multiply

$- 4$ by

$0$ .

$1 + 0$

Step 3.2

Add

$1$ and

$0$ .

$1$

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