u^6-5u^4=0

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Solution for u^6-5u^4=0 equation:


Simplifying
u6 + -5u4 = 0

Reorder the terms:
-5u4 + u6 = 0

Solving
-5u4 + u6 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u4'.
u4(-5 + u2) = 0

Subproblem 1

Set the factor 'u4' equal to zero and attempt to solve: Simplifying u4 = 0 Solving u4 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u4 = 0 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 '(-5 + u2)' equal to zero and attempt to solve: Simplifying -5 + u2 = 0 Solving -5 + u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + u2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + u2 = 0 + 5 u2 = 0 + 5 Combine like terms: 0 + 5 = 5 u2 = 5 Simplifying u2 = 5 Take the square root of each side: u = {-2.236067978, 2.236067978}

Solution

u = {-2.236067978, 2.236067978}

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