Precalculus Examples

$x = \frac{- 0.8 + \sqrt{{0.8}^{2} - 4 \cdot - 0.01 \cdot 5.4}}{2 (- 0.01)}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $0.8$ to the power of $2$ .

$x = \frac{- 0.8 + \sqrt{0.64 - 4 \cdot - 0.01 \cdot 5.4}}{2 (- 0.01)}$

Step 1.2

Multiply $- 4 \cdot - 0.01 \cdot 5.4$ .

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Step 1.2.1

Multiply $- 4$ by $- 0.01$ .

$x = \frac{- 0.8 + \sqrt{0.64 + 0.04 \cdot 5.4}}{2 (- 0.01)}$

Step 1.2.2

Multiply $0.04$ by $5.4$ .

$x = \frac{- 0.8 + \sqrt{0.64 + 0.216}}{2 (- 0.01)}$

Step 1.3

Add $0.64$ and $0.216$ .

$x = \frac{- 0.8 + \sqrt{0.856}}{2 (- 0.01)}$

Step 1.4

Add $- 0.8$ and $\sqrt{0.856}$ .

$x = \frac{0.12520268}{2 (- 0.01)}$

Step 2

Simplify the expression.

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Step 2.1

Multiply $2$ by $- 0.01$ .

$x = \frac{0.12520268}{- 0.02}$

Step 2.2

Divide $0.12520268$ by $- 0.02$ .

$x = - 6.26013402$