u^4+5u^2+4=0

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Solution for u^4+5u^2+4=0 equation:


Simplifying
u4 + 5u2 + 4 = 0

Reorder the terms:
4 + 5u2 + u4 = 0

Solving
4 + 5u2 + u4 = 0

Solving for variable 'u'.

Factor a trinomial.
(4 + u2)(1 + u2) = 0

Subproblem 1

Set the factor '(4 + u2)' equal to zero and attempt to solve: Simplifying 4 + u2 = 0 Solving 4 + u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + u2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + u2 = 0 + -4 u2 = 0 + -4 Combine like terms: 0 + -4 = -4 u2 = -4 Simplifying u2 = -4 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 + u2)' equal to zero and attempt to solve: Simplifying 1 + u2 = 0 Solving 1 + u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + u2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + u2 = 0 + -1 u2 = 0 + -1 Combine like terms: 0 + -1 = -1 u2 = -1 Simplifying u2 = -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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