$\displaystyle a,b,k$ are positive integer numbers such that: $\displaystyle k|a^2b+1$ and $\displaystyle k|ab^2+1$ prove that $\displaystyle k|a^3+1$ and $\displaystyle k|b^3+1$.

Thanks for help.

Printable View

- Sep 1st 2010, 05:32 AMolkaabcproblem with divisibility
$\displaystyle a,b,k$ are positive integer numbers such that: $\displaystyle k|a^2b+1$ and $\displaystyle k|ab^2+1$ prove that $\displaystyle k|a^3+1$ and $\displaystyle k|b^3+1$.

Thanks for help. - Sep 1st 2010, 05:35 AMgrgrsanjay
what does | mean??

- Sep 1st 2010, 05:47 AMolkaabc
x|y means: y is divisible by x. Differently: x|y means that exists z (z is integer number) such that y=xz.

- Sep 8th 2010, 08:06 AMundefined
For forum organization purposes, there has been a new thread started by someone else with the same question.

http://www.mathhelpforum.com/math-he...ty-155566.html

Update: The problem has been resolved on the other thread.