Raised to the Power of 27!

Algebra Level 5

If \(\alpha,\beta,\gamma\) are the roots of the equation \(x^{3} + 3x + 9=0\), find the value of \(\alpha^{27} +\beta^{27} +\gamma^{27}\).


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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