The answer is \(n^2\)
Algebra
Level
4
\[\large \frac{31}{2- \alpha_1}+ \frac{31}{2- \alpha_2}+\frac{31}{2- \alpha_3} +\frac{31}{2- \alpha_4}\]
Given that \(1,\alpha_1, \alpha_2, \alpha_3,\alpha_4\) are distinct fifth roots of unity, evaluate the expression above.
by
Sanjeet Raria