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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