Quadratics and parabola

Algebra Level 4

For each positive integer nn, the parabola y=(n2+n)x2(2n+1)x+1y=(n^{2}+n)x^{2}-(2n+1)x+1 cuts the x axis at the points AnA_{n} and BnB_{n}.What is the value of n=11992AnBn\displaystyle \sum_{n=1}^{1992}A_{n}B_{n}

This problem is a part of my set Some JEE problems

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