Trigonometry Examples

$x = \frac{- (- 0.04 - (\sqrt{{(0.04)}^{2} - 4 \cdot 0.003 \cdot 0.12}))}{2 (0.003)}$

Step 1

Simplify $\frac{- (- 0.04 - (\sqrt{{(0.04)}^{2} - 4 \cdot 0.003 \cdot 0.12}))}{2 (0.003)}$ .

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Step 1.1

Simplify the numerator.

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Step 1.1.1

Raise $0.04$ to the power of $2$ .

$x = \frac{- (- 0.04 - \sqrt{0.0016 - 4 \cdot 0.003 \cdot 0.12})}{2 (0.003)}$

Step 1.1.2

Multiply $- 4 \cdot 0.003 \cdot 0.12$ .

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Step 1.1.2.1

Multiply $- 4$ by $0.003$ .

$x = \frac{- (- 0.04 - \sqrt{0.0016 - 0.012 \cdot 0.12})}{2 (0.003)}$

Step 1.1.2.2

Multiply $- 0.012$ by $0.12$ .

$x = \frac{- (- 0.04 - \sqrt{0.0016 - 0.00144})}{2 (0.003)}$

Step 1.1.3

Subtract $0.00144$ from $0.0016$ .

$x = \frac{- (- 0.04 - \sqrt{0.00016})}{2 (0.003)}$

Step 1.1.4

Subtract $\sqrt{0.00016}$ from $- 0.04$ .

$x = \frac{- - 0.05264911}{2 (0.003)}$

Step 1.2

Simplify the expression.

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Step 1.2.1

Multiply $2$ by $0.003$ .

$x = \frac{- - 0.05264911}{0.006}$

Step 1.2.2

Multiply $- 1$ by $- 0.05264911$ .

$x = \frac{0.05264911}{0.006}$

Step 1.2.3

Divide $0.05264911$ by $0.006$ .

$x = 8.77485177$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx 8.77485177$

Step 3