r^4+18r^2+81=0

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Solution for r^4+18r^2+81=0 equation:


Simplifying
r4 + 18r2 + 81 = 0

Reorder the terms:
81 + 18r2 + r4 = 0

Solving
81 + 18r2 + r4 = 0

Solving for variable 'r'.

Factor a trinomial.
(9 + r2)(9 + r2) = 0

Subproblem 1

Set the factor '(9 + r2)' equal to zero and attempt to solve: Simplifying 9 + r2 = 0 Solving 9 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + r2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + r2 = 0 + -9 r2 = 0 + -9 Combine like terms: 0 + -9 = -9 r2 = -9 Simplifying r2 = -9 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 + r2)' equal to zero and attempt to solve: Simplifying 9 + r2 = 0 Solving 9 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + r2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + r2 = 0 + -9 r2 = 0 + -9 Combine like terms: 0 + -9 = -9 r2 = -9 Simplifying r2 = -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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