Raised to 5and 9
Algebra
Level
5
If \(r_{1}\),\(r_{2}\),\(r_{3}\),\(r_{4}\),\(r_{5}\) are the complex roots of the equation \(x^{5}-3x^{4}-1=0\) . Find the value of
\[ \large \frac{1}{r_{1}^{9}}+\frac{1}{r_{2}^{9}}+\frac{1}{r_{3}^{9}}+\frac{1}{r_{4}^{9}}+\frac{1}{r_{5}^{9}}\]
by
Aditya Lalbondre