Solve for x x^6+39=69

$x^{6} + 39 = 69$

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

Subtract $39$ from both sides of the equation.

$x^{6} = 69 - 39$

Subtract $39$ from $69$ .

$x^{6} = 30$

Take the 6th root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt[6]{30}$

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.

$x = \sqrt[6]{30}$

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

$x = - \sqrt[6]{30}$

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

$x = \sqrt[6]{30}, - \sqrt[6]{30}$

The result can be shown in multiple forms.

Exact Form:

$x = \sqrt[6]{30}, - \sqrt[6]{30}$

Decimal Form:

$x = 1.76273438 \dots, - 1.76273438 \dots$