Algebra Examples

x^{2} - x + 2 = 0

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

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

$c$ .

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

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

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

$- 1$ to the power of

2

$2$ .

1 - 4 (1 \cdot 2)

$1 - 4 (1 \cdot 2)$

Step 3.1.2

Multiply

- 4 (1 \cdot 2)

$- 4 (1 \cdot 2)$ .

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Step 3.1.2.1

Multiply

2

$2$ by

1

$1$ .

1 - 4 \cdot 2

$1 - 4 \cdot 2$

Step 3.1.2.2

Multiply

- 4

$- 4$ by

2

$2$ .

1 - 8

$1 - 8$

1 - 8

$1 - 8$

1 - 8

$1 - 8$

Step 3.2

Subtract

8

$8$ from

1

$1$ .

- 7

$- 7$

- 7

$- 7$