Basic Math Examples

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

Step 1

Simplify the numerator.

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Step 1.1

Raise $5$ to the power of $2$ .

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

Step 1.2

Multiply $- 4 \cdot 1 \cdot 2$ .

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Step 1.2.1

Multiply $- 4$ by $1$ .

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

Step 1.2.2

Multiply $- 4$ by $2$ .

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

Step 1.3

Subtract $8$ from $25$ .

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

Step 2

Multiply $2$ by $1$ .

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$- 0.43844718 \dots, - 4.56155281 \dots$