Finite Math Examples

$- 3 + \sqrt{16 - 4 x}$

Step 1

Factor $4$ out of $16 - 4 x$ .

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Step 1.1

Factor $4$ out of $16$ .

$- 3 + \sqrt{4 (4) - 4 x}$

Step 1.2

Factor $4$ out of $- 4 x$ .

$- 3 + \sqrt{4 (4) + 4 (- x)}$

Step 1.3

Factor $4$ out of $4 (4) + 4 (- x)$ .

$- 3 + \sqrt{4 (4 - x)}$

$- 3 + \sqrt{4 (4 - x)}$

Step 2

Rewrite $4 (4 - x)$ as $2^{2} (2^{2} - x)$ .

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Step 2.1

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

$- 3 + \sqrt{2^{2} (4 - x)}$

Step 2.2

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

$- 3 + \sqrt{2^{2} (2^{2} - x)}$

$- 3 + \sqrt{2^{2} (2^{2} - x)}$

Step 3

Pull terms out from under the radical.

$- 3 + 2 \sqrt{2^{2} - x}$

Step 4

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

$- 3 + 2 \sqrt{4 - x}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$