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Find all integers n for which this fraction is an integer

  1. Aug 26, 2010 #1
    Find all integers n for which the fraction n ^ 3 + 2010 / (n ^ 2 + 2010) is equal to integer.

    please I need help :( Thank you
     
  2. jcsd
  3. Aug 26, 2010 #2
    Re: Divisibility

    Which values immediately come to your mind?
     
  4. Aug 26, 2010 #3
    Re: Divisibility

    0 and 1
     
  5. Aug 26, 2010 #4
    Re: Divisibility

    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.
     
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