a^4+19a^2+18=

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Solution for a^4+19a^2+18= equation:


Simplifying
a4 + 19a2 + 18 = 0

Reorder the terms:
18 + 19a2 + a4 = 0

Solving
18 + 19a2 + a4 = 0

Solving for variable 'a'.

Factor a trinomial.
(18 + a2)(1 + a2) = 0

Subproblem 1

Set the factor '(18 + a2)' equal to zero and attempt to solve: Simplifying 18 + a2 = 0 Solving 18 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + a2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + a2 = 0 + -18 a2 = 0 + -18 Combine like terms: 0 + -18 = -18 a2 = -18 Simplifying a2 = -18 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 + a2)' equal to zero and attempt to solve: Simplifying 1 + a2 = 0 Solving 1 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a2 = 0 + -1 a2 = 0 + -1 Combine like terms: 0 + -1 = -1 a2 = -1 Simplifying a2 = -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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