Trigonometry Examples

${(x)}^{3} - 30$

Step 1

Set ${(x)}^{3} - 30$ equal to $0$ .

${(x)}^{3} - 30 = 0$

Step 2

Solve for $x$ .

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Step 2.1

Add $30$ to both sides of the equation.

$x^{3} = 30$

Step 2.2

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

$x = \sqrt[3]{30}$

Step 2.3

The multiplicity of a root is the number of times the root appears. For example, a factor of ${(x + 5)}^{3}$ would have a root at $x = - 5$ with multiplicity of $3$ .

$x = \sqrt[3]{30}$ (Multiplicity of $3$ )

Step 3