x^4+13x^2+22=0

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Solution for x^4+13x^2+22=0 equation:


Simplifying
x4 + 13x2 + 22 = 0

Reorder the terms:
22 + 13x2 + x4 = 0

Solving
22 + 13x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + x2)(2 + 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 '(2 + x2)' equal to zero and attempt to solve: Simplifying 2 + x2 = 0 Solving 2 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x2 = 0 + -2 x2 = 0 + -2 Combine like terms: 0 + -2 = -2 x2 = -2 Simplifying x2 = -2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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