Finite Math Examples

$f (x) = \sqrt{2 - 14}$

Step 1

Set $\sqrt{2 - 14}$ equal to $0$ .

$\sqrt{2 - 14} = 0$

Step 2

Solve for $x$ .

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Step 2.1

Simplify $\sqrt{2 - 14}$ .

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Step 2.1.1

Subtract $14$ from $2$ .

$\sqrt{- 12} = 0$

Step 2.1.2

Rewrite $- 12$ as $- 1 (12)$ .

$\sqrt{- 1 (12)} = 0$

Step 2.1.3

Rewrite $\sqrt{- 1 (12)}$ as $\sqrt{- 1} \cdot \sqrt{12}$ .

$\sqrt{- 1} \cdot \sqrt{12} = 0$

Step 2.1.4

Rewrite $\sqrt{- 1}$ as $i$ .

$i \cdot \sqrt{12} = 0$

Step 2.1.5

Rewrite $12$ as $2^{2} \cdot 3$ .

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Step 2.1.5.1

Factor $4$ out of $12$ .

$i \cdot \sqrt{4 (3)} = 0$

Step 2.1.5.2

Rewrite $4$ as $2^{2}$ .

$i \cdot \sqrt{2^{2} \cdot 3} = 0$

Step 2.1.6

Pull terms out from under the radical.

$i \cdot (2 \sqrt{3}) = 0$

Step 2.1.7

Move $2$ to the left of $i$ .

$2 i \sqrt{3} = 0$

Step 2.2

Since $2 i \sqrt{3} \neq 0$ , there are no solutions.

No solution