Algebra Examples

$x^{6} - 1 = 0$

Step 1

Add $1$ to both sides of the equation.

$x^{6} = 1$

Step 2

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

$x = \pm \sqrt[6]{1}$

Step 3

Any root of $1$ is $1$ .

$x = \pm 1$

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.

$x = 1$

Step 4.2

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

$x = - 1$

Step 4.3

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

$x = 1, - 1$

Step 5