Finite Math Examples

$x = \frac{- 5 \sqrt{{(5)}^{2} - 4 \cdot 1 \cdot - 8}}{2 (1)}$

Step 1

Remove parentheses.

$x = \frac{- 5 \sqrt{5^{2} - 4 \cdot 1 \cdot - 8}}{2 (1)}$

Step 2

Simplify $\frac{- 5 \sqrt{5^{2} - 4 \cdot 1 \cdot - 8}}{2 (1)}$ .

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Step 2.1

Simplify the numerator.

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Step 2.1.1

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

$x = \frac{- 5 \sqrt{25 - 4 \cdot 1 \cdot - 8}}{2 (1)}$

Step 2.1.2

Multiply $- 4 \cdot 1 \cdot - 8$ .

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Step 2.1.2.1

Multiply $- 4$ by $1$ .

$x = \frac{- 5 \sqrt{25 - 4 \cdot - 8}}{2 (1)}$

Step 2.1.2.2

Multiply $- 4$ by $- 8$ .

$x = \frac{- 5 \sqrt{25 + 32}}{2 (1)}$

Step 2.1.3

Add $25$ and $32$ .

$x = \frac{- 5 \sqrt{57}}{2 (1)}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Multiply $2$ by $1$ .

$x = \frac{- 5 \sqrt{57}}{2}$

Step 2.2.2

Move the negative in front of the fraction.

$x = - \frac{5 \sqrt{57}}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{5 \sqrt{57}}{2}$

Decimal Form:

$x = - 18.87458608 \dots$