Question

If a^0, a^1, a^2...a^n are the nth roots of unity then what will be the value of:

[1/(3-a^1) ] + [1/(3-a^2)] + ... + [1/(3-a^n)]

Answer 1

might help to know what a "root of unity" is ...

Answer 2

nth roots of unity means solutions of the eqn \[x^{n} - 1 = 0\]