Pre-Algebra Examples

$x = \frac{- 11 - \sqrt{169}}{2}$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite $169$ as $13^{2}$ .

$x = \frac{- 11 - \sqrt{13^{2}}}{2}$

Step 1.2

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

$x = \frac{- 11 - 1 \cdot 13}{2}$

Step 1.3

Multiply $- 1$ by $13$ .

$x = \frac{- 11 - 13}{2}$

Step 1.4

Subtract $13$ from $- 11$ .

$x = \frac{- 24}{2}$

Step 2

Divide $- 24$ by $2$ .

$x = - 12$