x^4=441

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Solution for x^4=441 equation:


Simplifying
x4 = 441

Solving
x4 = 441

Solving for variable 'x'.

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

Simplifying
x4 = 441

Reorder the terms:
-441 + x4 = 441 + -441

Combine like terms: 441 + -441 = 0
-441 + x4 = 0

Factor a difference between two squares.
(21 + x2)(-21 + x2) = 0

Subproblem 1

Set the factor '(21 + x2)' equal to zero and attempt to solve: Simplifying 21 + x2 = 0 Solving 21 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + x2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + x2 = 0 + -21 x2 = 0 + -21 Combine like terms: 0 + -21 = -21 x2 = -21 Simplifying x2 = -21 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 '(-21 + x2)' equal to zero and attempt to solve: Simplifying -21 + x2 = 0 Solving -21 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + x2 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + x2 = 0 + 21 x2 = 0 + 21 Combine like terms: 0 + 21 = 21 x2 = 21 Simplifying x2 = 21 Take the square root of each side: x = {-4.582575695, 4.582575695}

Solution

x = {-4.582575695, 4.582575695}

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