x^4=.04

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Solution for x^4=.04 equation:


Simplifying
x4 = 0.04

Solving
x4 = 0.04

Solving for variable 'x'.

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

Simplifying
x4 = 0.04

Reorder the terms:
-0.04 + x4 = 0.04 + -0.04

Combine like terms: 0.04 + -0.04 = 0.00
-0.04 + x4 = 0.00

Factor a difference between two squares.
(0.2 + x2)(-0.2 + x2) = 0.00

Subproblem 1

Set the factor '(0.2 + x2)' equal to zero and attempt to solve: Simplifying 0.2 + x2 = 0 Solving 0.2 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + x2 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + x2 = 0 + -0.2 x2 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 x2 = -0.2 Simplifying x2 = -0.2 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 '(-0.2 + x2)' equal to zero and attempt to solve: Simplifying -0.2 + x2 = 0 Solving -0.2 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + x2 = 0 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + x2 = 0 + 0.2 x2 = 0 + 0.2 Combine like terms: 0 + 0.2 = 0.2 x2 = 0.2 Simplifying x2 = 0.2 Take the square root of each side: x = {-0.447213596, 0.447213596}

Solution

x = {-0.447213596, 0.447213596}

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