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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

 ∑1≤i<j≤1501(1−xi)(1−xj)\ \sum_{1\leq i < j \leq 150} \dfrac{1}{(1-x_{i})(1-x_{j})}

This is my original problem.
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Surya Prakash by Surya Prakash
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