Difference between revisions of "1998 IMO Problems/Problem 4"

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Determine all pairs (a, b) of positive integers such that <math>ab^{2} + b + 7</math> divides
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Determine all pairs <math>(a, b)</math> of positive integers such that <math>ab^{2} + b + 7</math> divides
 
<math>a^{2}b + a + b</math>.
 
<math>a^{2}b + a + b</math>.

Revision as of 19:44, 18 July 2016

Determine all pairs $(a, b)$ of positive integers such that $ab^{2} + b + 7$ divides $a^{2}b + a + b$.