x^4+11x^2+10=0

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Solution for x^4+11x^2+10=0 equation:


Simplifying
x4 + 11x2 + 10 = 0

Reorder the terms:
10 + 11x2 + x4 = 0

Solving
10 + 11x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + x2)(1 + x2) = 0

Subproblem 1

Set the factor '(10 + x2)' equal to zero and attempt to solve: Simplifying 10 + x2 = 0 Solving 10 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x2 = 0 + -10 x2 = 0 + -10 Combine like terms: 0 + -10 = -10 x2 = -10 Simplifying x2 = -10 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 '(1 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -1 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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