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 \(\alpha^{27} +\beta^{27} +\gamma^{27}\).
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.
by
Aman Jain