Finite Math Examples

$\frac{- (- 6) - \sqrt{{(- 6)}^{2} - 4 \cdot 1 \cdot 5}}{2 (1)}$

Step 1

Simplify the numerator.

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Step 1.1

Multiply $- 1$ by $- 6$ .

$\frac{6 - \sqrt{{(- 6)}^{2} - 4 \cdot 1 \cdot 5}}{2 (1)}$

Step 1.2

Raise $- 6$ to the power of $2$ .

$\frac{6 - \sqrt{36 - 4 \cdot 1 \cdot 5}}{2 (1)}$

Step 1.3

Multiply $- 4 \cdot 1 \cdot 5$ .

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Step 1.3.1

Multiply $- 4$ by $1$ .

$\frac{6 - \sqrt{36 - 4 \cdot 5}}{2 (1)}$

Step 1.3.2

Multiply $- 4$ by $5$ .

$\frac{6 - \sqrt{36 - 20}}{2 (1)}$

Step 1.4

Subtract $20$ from $36$ .

$\frac{6 - \sqrt{16}}{2 (1)}$

Step 1.5

Rewrite $16$ as $4^{2}$ .

$\frac{6 - \sqrt{4^{2}}}{2 (1)}$

Step 1.6

Pull terms out from under the radical, assuming positive real numbers.

$\frac{6 - 1 \cdot 4}{2 (1)}$

Step 1.7

Multiply $- 1$ by $4$ .

$\frac{6 - 4}{2 (1)}$

Step 1.8

Subtract $4$ from $6$ .

$\frac{2}{2 (1)}$

Step 2

Simplify the expression.

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Step 2.1

Multiply $2$ by $1$ .

$\frac{2}{2}$

Step 2.2

Divide $2$ by $2$ .

$1$