
Re:     validity of an equation
Posted:
Mar 2, 2013 4:45 PM


On Saturday, March 2, 2013 3:08:24 PM UTC5, quasi wrote: > You removed the relevant context, so I'll remove still > > more. > > > > In the reply you snipped, I showed: > > > > If x,y,z are integers such that > > > > y^(1/2) = (x^10  z^5)^(1/5) > > > > then, letting w = x^10  z^5, the equation reduces to > > > > y^5 = w^2 > > > > which implies y is a perfect square and w is a perfect 5'th > > power. > > > > Now you ask, what if we assume that y is not a perfect square? > > > > Then you get a contradiction, of course. > > > > A triviality. > > > > quasi
*** *** *** Thanks quasi, you are right
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