Finding pairs make a fraction integer.

Determine all pairs (a,b) of positive integer such :
a22ab2-b3+1
positive integer

3 Answers

11
Devil ·

Are you sure this is the qsn?

All pairs of the form (a,2a) satisfy this where a>0

1
fahadnasir nasir ·

Is the pairs (a,2a) the only solution?!...

341
Hari Shankar ·

This has to go to the olympiad section. IMO 2003, Prob #2, surely belongs in that section

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