Finite Math Examples

$f (x) = \frac{x^{3}}{\sqrt{x^{2} - 1}}$

Step 1

Set $\frac{x^{3}}{\sqrt{x^{2} - 1}}$ equal to $0$ .

$\frac{x^{3}}{\sqrt{x^{2} - 1}} = 0$

Step 2

Solve for $x$ .

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Step 2.1

Set the numerator equal to zero.

$x^{3} = 0$

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.

$x = \sqrt[3]{0}$

Step 2.2.2

Simplify $\sqrt[3]{0}$ .

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Step 2.2.2.1

Rewrite $0$ as $0^{3}$ .

$x = \sqrt[3]{0^{3}}$

Step 2.2.2.2

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

$x = 0$

Step 2.3

Exclude the solutions that do not make $\frac{x^{3}}{\sqrt{x^{2} - 1}} = 0$ true.

$No solution$