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Topic: Decomposition of a 10th degree equation
Replies: 4   Last Post: Mar 16, 2013 10:17 AM

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gnasher729

Posts: 418
Registered: 10/7/06
Re: Decomposition of a 10th degree equation
Posted: Mar 15, 2013 3:34 PM
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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?



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