9K^4+11K^2+2=0

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Solution for 9K^4+11K^2+2=0 equation:


Simplifying
9K4 + 11K2 + 2 = 0

Reorder the terms:
2 + 11K2 + 9K4 = 0

Solving
2 + 11K2 + 9K4 = 0

Solving for variable 'K'.

Factor a trinomial.
(1 + K2)(2 + 9K2) = 0

Subproblem 1

Set the factor '(1 + K2)' equal to zero and attempt to solve: Simplifying 1 + K2 = 0 Solving 1 + K2 = 0 Move all terms containing K to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + K2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + K2 = 0 + -1 K2 = 0 + -1 Combine like terms: 0 + -1 = -1 K2 = -1 Simplifying K2 = -1 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 + 9K2)' equal to zero and attempt to solve: Simplifying 2 + 9K2 = 0 Solving 2 + 9K2 = 0 Move all terms containing K to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9K2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9K2 = 0 + -2 9K2 = 0 + -2 Combine like terms: 0 + -2 = -2 9K2 = -2 Divide each side by '9'. K2 = -0.2222222222 Simplifying K2 = -0.2222222222 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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