Basic Math Examples

\frac{- 5 \pm \sqrt{5^{2} - 4 \cdot 1 \cdot 2}}{2 (1)}

$\frac{- 5 \pm \sqrt{5^{2} - 4 \cdot 1 \cdot 2}}{2 (1)}$

Step 1

Simplify the numerator.

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Step 1.1

Raise

5

$5$ to the power of

2

$2$ .

\frac{- 5 \pm \sqrt{25 - 4 \cdot 1 \cdot 2}}{2 (1)}

$\frac{- 5 \pm \sqrt{25 - 4 \cdot 1 \cdot 2}}{2 (1)}$

Step 1.2

Multiply

- 4 \cdot 1 \cdot 2

$- 4 \cdot 1 \cdot 2$ .

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Step 1.2.1

Multiply

- 4

$- 4$ by

1

$1$ .

\frac{- 5 \pm \sqrt{25 - 4 \cdot 2}}{2 (1)}

$\frac{- 5 \pm \sqrt{25 - 4 \cdot 2}}{2 (1)}$

Step 1.2.2

Multiply

- 4

$- 4$ by

2

$2$ .

\frac{- 5 \pm \sqrt{25 - 8}}{2 (1)}

$\frac{- 5 \pm \sqrt{25 - 8}}{2 (1)}$

\frac{- 5 \pm \sqrt{25 - 8}}{2 (1)}

$\frac{- 5 \pm \sqrt{25 - 8}}{2 (1)}$

Step 1.3

Subtract

8

$8$ from

25

$25$ .

\frac{- 5 \pm \sqrt{17}}{2 (1)}

$\frac{- 5 \pm \sqrt{17}}{2 (1)}$

\frac{- 5 \pm \sqrt{17}}{2 (1)}

$\frac{- 5 \pm \sqrt{17}}{2 (1)}$

Step 2

Multiply

2

$2$ by

1

$1$ .

\frac{- 5 \pm \sqrt{17}}{2}

$\frac{- 5 \pm \sqrt{17}}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{- 5 \pm \sqrt{17}}{2}

$\frac{- 5 \pm \sqrt{17}}{2}$

Decimal Form:

- 0.43844718 \dots, - 4.56155281 \dots

$- 0.43844718 \dots, - 4.56155281 \dots$