s^4+2s^2+1=0

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Solution for s^4+2s^2+1=0 equation:


Simplifying
s4 + 2s2 + 1 = 0

Reorder the terms:
1 + 2s2 + s4 = 0

Solving
1 + 2s2 + s4 = 0

Solving for variable 's'.

Factor a trinomial.
(1 + s2)(1 + s2) = 0

Subproblem 1

Set the factor '(1 + s2)' equal to zero and attempt to solve: Simplifying 1 + s2 = 0 Solving 1 + s2 = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + s2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + s2 = 0 + -1 s2 = 0 + -1 Combine like terms: 0 + -1 = -1 s2 = -1 Simplifying s2 = -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 '(1 + s2)' equal to zero and attempt to solve: Simplifying 1 + s2 = 0 Solving 1 + s2 = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + s2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + s2 = 0 + -1 s2 = 0 + -1 Combine like terms: 0 + -1 = -1 s2 = -1 Simplifying s2 = -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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