Find all integers n for which this fraction is an integer

mr.green717 · Aug 26, 2010

Find all integers n for which the fraction n ^ 3 + 2010 / (n ^ 2 + 2010) is equal to integer.

please I need help :( Thank you

naele · Aug 26, 2010

Which values immediately come to your mind?

mr.green717 · Aug 26, 2010

0 and 1

naele · Aug 26, 2010

Right, those are the only two that are easy to find. Another possibility would have been to find an integer such that n^3 + 2010=0 but there are none. If you have any programming skill you could try and brute force it with a relatively easy to implement algorithm.

Find all integers n for which this fraction is an integer

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