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Integer Divisibility Dilemma II (Posted on 2014-05-22) Difficulty: 3 of 5
Given that n is an integer, what are the values of n for which n2 - 17 is divisible by 5n+33?

Prove that there are no others.

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

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re: answers first | Comment 2 of 6 |
(In reply to answers first by Ady TZIDON)

n=-7 is also a solution, as is n=-73.

Clearly these 4 are the only solutions, since the reorganised equation is of form  (a + 5b) (a - 5b) = 2656.

Edited on May 22, 2014, 10:16 am
  Posted by broll on 2014-05-22 10:04:08

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