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Yet divisibility...

Posted: Sat Jul 01, 2017 3:35 pm
by Katy729
Determine all ordered pairs $(a,b)$ of positive integers for which $\dfrac{b^3+1}{ab-1}$ is an integer.

Re: Yet divisibility...

Posted: Wed Sep 06, 2017 6:04 pm
by Katy729
Please a solution... :(

Re: Yet divisibility...

Posted: Sat Oct 14, 2017 10:48 pm
by Katy729
Someone pleasee. :(

Re: Yet divisibility...

Posted: Sat Nov 11, 2017 4:08 pm
by Katy729
Please a solution... :( :( :(

Re: Yet divisibility...

Posted: Wed Dec 13, 2017 8:07 pm
by Katy729
A solution please..... :(

Re: Yet divisibility...

Posted: Wed Dec 13, 2017 8:45 pm
by aritra barua
This is an IMO $1994$ problem.Look up the problem in $AoPS$.

Re: Yet divisibility...

Posted: Wed Dec 13, 2017 11:18 pm
by Katy729
Ok, thanks aritra!! :)