x^4=0.01

Solution for x^4=0.01 equation:

Simplifying
x4 = 0.01

Solving
x4 = 0.01

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Simplifying
x4 = 0.01

Reorder the terms:
-0.01 + x4 = 0.01 + -0.01

Combine like terms: 0.01 + -0.01 = 0.00
-0.01 + x4 = 0.00

Factor a difference between two squares.
(0.1 + x2)(-0.1 + x2) = 0.00

Subproblem 1
Set the factor '(0.1 + x2)' equal to zero and attempt to solve:

Simplifying
0.1 + x2 = 0

Solving
0.1 + x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-0.1' to each side of the equation.
0.1 + -0.1 + x2 = 0 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + x2 = 0 + -0.1
x2 = 0 + -0.1

Combine like terms: 0 + -0.1 = -0.1
x2 = -0.1

Simplifying
x2 = -0.1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-0.1 + x2)' equal to zero and attempt to solve:

Simplifying
-0.1 + x2 = 0

Solving
-0.1 + x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '0.1' to each side of the equation.
-0.1 + 0.1 + x2 = 0 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + x2 = 0 + 0.1
x2 = 0 + 0.1

Combine like terms: 0 + 0.1 = 0.1
x2 = 0.1

Simplifying
x2 = 0.1

Take the square root of each side:
x = {-0.316227766, 0.316227766}
Solution
x = {-0.316227766, 0.316227766}