Trigonometry Examples

${(x + 1)}^{3} = 27$

Step 1

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

$x + 1 = \sqrt[3]{27}$

Step 2

Simplify $\sqrt[3]{27}$ .

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Step 2.1

Rewrite $27$ as $3^{3}$ .

$x + 1 = \sqrt[3]{3^{3}}$

Step 2.2

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

$x + 1 = 3$

Step 3

Move all terms not containing $x$ to the right side of the equation.

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Step 3.1

Subtract $1$ from both sides of the equation.

$x = 3 - 1$

Step 3.2

Subtract $1$ from $3$ .

$x = 2$