Basic Math Examples

$\frac{- 12.838 + \sqrt{{12.838}^{2} - 4 \cdot - 4.9 \cdot 6}}{2 (- 4.9)}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $12.838$ to the power of $2$ .

$\frac{- 12.838 + \sqrt{164.814244 - 4 \cdot - 4.9 \cdot 6}}{2 (- 4.9)}$

Step 1.2

Multiply $- 4 \cdot - 4.9 \cdot 6$ .

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Step 1.2.1

Multiply $- 4$ by $- 4.9$ .

$\frac{- 12.838 + \sqrt{164.814244 + 19.6 \cdot 6}}{2 (- 4.9)}$

Step 1.2.2

Multiply $19.6$ by $6$ .

$\frac{- 12.838 + \sqrt{164.814244 + 117.6}}{2 (- 4.9)}$

Step 1.3

Add $164.814244$ and $117.6$ .

$\frac{- 12.838 + \sqrt{282.414244}}{2 (- 4.9)}$

Step 2

Simplify the expression.

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Step 2.1

Multiply $2$ by $- 4.9$ .

$\frac{- 12.838 + \sqrt{282.414244}}{- 9.8}$

Step 2.2

Move the negative in front of the fraction.

$- \frac{- 12.838 + \sqrt{282.414244}}{9.8}$

Step 3

Evaluate the root.

$- \frac{- 12.838 + 16.80518503}{9.8}$

Step 4

Add $- 12.838$ and $16.80518503$ .

$- \frac{3.96718503}{9.8}$

Step 5

Divide $3.96718503$ by $9.8$ .

$- 1 \cdot 0.40481479$

Step 6

Multiply $- 1$ by $0.40481479$ .

$- 0.40481479$