Solve for x x^4-256=0

$x^{4} - 256 = 0$

Step 1

Add $256$ to both sides of the equation.

$x^{4} = 256$

Step 2

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

$x = \pm \sqrt[4]{256}$

Step 3

Simplify $\pm \sqrt[4]{256}$ .

Rewrite $256$ as $4^{4}$ .

$x = \pm \sqrt[4]{4^{4}}$

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

$x = \pm 4$

Step 4

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

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

$x = 4$

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

$x = - 4$

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

$x = 4, - 4$