150 Friends Problem
Algebra
Level
5
\[\large f(x)= x^{150} + x^{2} -7x + 1\]
Let \(x_{1}\), \(x_{2}\), \(x_{3}\)\(\ldots\) \(x_{150}\) be the roots of the above equation. Define
\[\large S = \huge \sum_{i=1}^{150}\dfrac{1}{(1+x_{i})^{2}}\]
Find \( |S| \).
by
Surya Prakash