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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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