u^4-3u^2-10=0

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Solution for u^4-3u^2-10=0 equation:


Simplifying
u4 + -3u2 + -10 = 0

Reorder the terms:
-10 + -3u2 + u4 = 0

Solving
-10 + -3u2 + u4 = 0

Solving for variable 'u'.

Factor a trinomial.
(-2 + -1u2)(5 + -1u2) = 0

Subproblem 1

Set the factor '(-2 + -1u2)' equal to zero and attempt to solve: Simplifying -2 + -1u2 = 0 Solving -2 + -1u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1u2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1u2 = 0 + 2 -1u2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1u2 = 2 Divide each side by '-1'. u2 = -2 Simplifying u2 = -2 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 + -1u2)' equal to zero and attempt to solve: Simplifying 5 + -1u2 = 0 Solving 5 + -1u2 = 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 + -1u2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1u2 = 0 + -5 -1u2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1u2 = -5 Divide each side by '-1'. 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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