Raised to the Power of 27!

Algebra Level 5

If α,β,γ\alpha,\beta,\gamma are the roots of the equation x3+3x+9=0x^{3} + 3x + 9=0, find the value of α27+β27+γ27\alpha^{27} +\beta^{27} +\gamma^{27}.

Note:

1.This is not an original problem.It is inspired by a question posted by Ayush Parasar.

2.You might want to use the calculator in the last step.

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