y^4+22y^2+117=0

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Solution for y^4+22y^2+117=0 equation:


Simplifying
y4 + 22y2 + 117 = 0

Reorder the terms:
117 + 22y2 + y4 = 0

Solving
117 + 22y2 + y4 = 0

Solving for variable 'y'.

Factor a trinomial.
(13 + y2)(9 + y2) = 0

Subproblem 1

Set the factor '(13 + y2)' equal to zero and attempt to solve: Simplifying 13 + y2 = 0 Solving 13 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + y2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + y2 = 0 + -13 y2 = 0 + -13 Combine like terms: 0 + -13 = -13 y2 = -13 Simplifying y2 = -13 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 '(9 + y2)' equal to zero and attempt to solve: Simplifying 9 + y2 = 0 Solving 9 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + y2 = 0 + -9 y2 = 0 + -9 Combine like terms: 0 + -9 = -9 y2 = -9 Simplifying y2 = -9 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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