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An algebra problem by Rocco Dalto

Algebra Level 4

Let \(M\) be any positive real number.

If \( \displaystyle \sum_{J=1}^{1000} \dfrac1{(X-J)(X-J-1)} = \dfrac1M \), find the sum of roots of \(X\).

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Excel in math and science

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by Rocco Dalto

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