
Re: Decomposition of a 10th degree equation
Posted:
Mar 15, 2013 3:34 PM


On Mar 15, 11:32 am, Deep <deepk...@yahoo.com> wrote: > Consider the following equation (1) for the given conditions. > > x^10 + y^10 = z^10 (1) > > Conditions: x, z are odd integers > 0 and y is non integer but x^10, y^10, z^10 are all integers each > 0 > > (1) can be decomposed as (2) and (3) where x = uv and u, v are co prime integers.
With these conditions you can take any odd 0 < x < z, and let y = (z^10  x^10)^(1/10), and that is the exact set of solutions, so I can't quite see the point?

