Find the pairs of nonnegative integers, $(m,n)$, which obey the equality:
\[(m-n)^2(n^2-m) = 4m^2n\]
So far, I havenīt found a single pair, but I cannot prove, that the set of solutions is empty.
Perhaps, someone can help me to crack this nut?
Find the pairs of nonnegative integers, $(m,n)$, which obey the equality:
\[(m-n)^2(n^2-m) = 4m^2n\]
So far, I havenīt found a single pair, but I cannot prove, that the set of solutions is empty.
Perhaps, someone can help me to crack this nut?
Ah well. It was a nice idea, but it doesn't actually help a whole lot. Good luck with it and if I get any other wild ideas I'll let you know.
-Dan
Last edited by Opalg; November 8th, 2016 at 10:52.
Thankyou so much, Opalg, kaliprasad for your help to "crack the nut".
Thankyou, topsquark for nice and helpful comments.