Quadratics and parabola

Algebra Level 4

For each positive integer \(n\), the parabola \(y=(n^{2}+n)x^{2}-(2n+1)x+1\) cuts the x axis at the points \(A_{n}\) and \(B_{n}\).What is the value of \(\displaystyle \sum_{n=1}^{1992}A_{n}B_{n}\)

This problem is a part of my set Some JEE problems

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