Finite Math Examples

$f (x) = \frac{x^{2}}{\sqrt{6 - x}}$

Step 1

Set $\frac{x^{2}}{\sqrt{6 - x}}$ equal to $0$ .

$\frac{x^{2}}{\sqrt{6 - x}} = 0$

Step 2

Solve for $x$ .

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Step 2.1

Set the numerator equal to zero.

$x^{2} = 0$

Step 2.2

Solve the equation for $x$ .

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Step 2.2.1

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt{0}$

Step 2.2.2

Simplify $\pm \sqrt{0}$ .

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Step 2.2.2.1

Rewrite $0$ as $0^{2}$ .

$x = \pm \sqrt{0^{2}}$

Step 2.2.2.2

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

$x = \pm 0$

Step 2.2.2.3

Plus or minus $0$ is $0$ .

$x = 0$

Step 3