x^4-22x^2-104=0

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Solution for x^4-22x^2-104=0 equation:


Simplifying
x4 + -22x2 + -104 = 0

Reorder the terms:
-104 + -22x2 + x4 = 0

Solving
-104 + -22x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x2)(26 + -1x2) = 0

Subproblem 1

Set the factor '(-4 + -1x2)' equal to zero and attempt to solve: Simplifying -4 + -1x2 = 0 Solving -4 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x2 = 0 + 4 -1x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -1x2 = 4 Divide each side by '-1'. x2 = -4 Simplifying x2 = -4 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 '(26 + -1x2)' equal to zero and attempt to solve: Simplifying 26 + -1x2 = 0 Solving 26 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -1x2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -1x2 = 0 + -26 -1x2 = 0 + -26 Combine like terms: 0 + -26 = -26 -1x2 = -26 Divide each side by '-1'. x2 = 26 Simplifying x2 = 26 Take the square root of each side: x = {-5.099019514, 5.099019514}

Solution

x = {-5.099019514, 5.099019514}

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