Trigonometry Examples

$\frac{- 9 + \sqrt{9^{2} - 4 \cdot 4 \cdot 5}}{2 (4)}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $9$ to the power of $2$ .

$\frac{- 9 + \sqrt{81 - 4 \cdot 4 \cdot 5}}{2 (4)}$

Step 1.2

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

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Step 1.2.1

Multiply $- 4$ by $4$ .

$\frac{- 9 + \sqrt{81 - 16 \cdot 5}}{2 (4)}$

Step 1.2.2

Multiply $- 16$ by $5$ .

$\frac{- 9 + \sqrt{81 - 80}}{2 (4)}$

Step 1.3

Subtract $80$ from $81$ .

$\frac{- 9 + \sqrt{1}}{2 (4)}$

Step 1.4

Any root of $1$ is $1$ .

$\frac{- 9 + 1}{2 (4)}$

Step 1.5

Add $- 9$ and $1$ .

$\frac{- 8}{2 (4)}$

Step 2

Simplify the expression.

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Step 2.1

Multiply $2$ by $4$ .

$\frac{- 8}{8}$

Step 2.2

Divide $- 8$ by $8$ .

$- 1$