Algebra Examples

$x^{6} + 36 = 100$

Step 1

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

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Step 1.1

Subtract $36$ from both sides of the equation.

$x^{6} = 100 - 36$

Step 1.2

Subtract $36$ from $100$ .

$x^{6} = 64$

Step 2

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

$x = \pm \sqrt[6]{64}$

Step 3

Simplify $\pm \sqrt[6]{64}$ .

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Step 3.1

Rewrite $64$ as $2^{6}$ .

$x = \pm \sqrt[6]{2^{6}}$

Step 3.2

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

$x = \pm 2$

Step 4

The complete solution is the result of both the positive and negative portions of the solution.

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Step 4.1

First, use the positive value of the $\pm$ to find the first solution.

$x = 2$

Step 4.2

Next, use the negative value of the $\pm$ to find the second solution.

$x = - 2$

Step 4.3

The complete solution is the result of both the positive and negative portions of the solution.

$x = 2, - 2$

Step 5