x^4-121=0

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Solution for x^4-121=0 equation:


Simplifying
x4 + -121 = 0

Reorder the terms:
-121 + x4 = 0

Solving
-121 + x4 = 0

Solving for variable 'x'.

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

Add '121' to each side of the equation.
-121 + 121 + x4 = 0 + 121

Combine like terms: -121 + 121 = 0
0 + x4 = 0 + 121
x4 = 0 + 121

Combine like terms: 0 + 121 = 121
x4 = 121

Simplifying
x4 = 121

Reorder the terms:
-121 + x4 = 121 + -121

Combine like terms: 121 + -121 = 0
-121 + x4 = 0

Factor a difference between two squares.
(11 + x2)(-11 + x2) = 0

Subproblem 1

Set the factor '(11 + x2)' equal to zero and attempt to solve: Simplifying 11 + x2 = 0 Solving 11 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x2 = 0 + -11 x2 = 0 + -11 Combine like terms: 0 + -11 = -11 x2 = -11 Simplifying x2 = -11 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 '(-11 + x2)' equal to zero and attempt to solve: Simplifying -11 + x2 = 0 Solving -11 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + x2 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + x2 = 0 + 11 x2 = 0 + 11 Combine like terms: 0 + 11 = 11 x2 = 11 Simplifying x2 = 11 Take the square root of each side: x = {-3.31662479, 3.31662479}

Solution

x = {-3.31662479, 3.31662479}

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