The equation

MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

The equation xn−1=0x^n-1=0, where n>1n>1 and n∈Nn\in\mathbb{N}, has roots 1,a2,a3,…,an1,a_2,a_3,\dots,a_n. The value of ∑r=2n11−ar\sum_{r=2}^{n}\frac{1}{1-a_r} is: (1) n4\frac{n}{4} (2) n(n−1)2\frac{n(n-1)}{2} (3) n−12\frac{n-1}{2} (4) None of these

Related theory

Browse the problem library