My Dad's Favorite

Algebra Level 5

f(x)=x150+x149+x148++x+1\large f(x) = x^{150} + x^{149} + x^{148} + \cdots + x +1

Let x1x_{1}, x2x_{2} \ldots x150x_{150} be the roots of the equation f(x)=0f(x) = 0.

Then find the value of

 1i<j1501(1xi)(1xj)\ \sum_{1\leq i < j \leq 150} \dfrac{1}{(1-x_{i})(1-x_{j})}


This is my original problem.
Try this problem 150 Followers Problem.
×

Problem Loading...

Note Loading...

Set Loading...