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#1 2012-10-31 00:52:43

Ronald
Guest

Diophantine equation

Is this diophantine equation solvable,if solvable how do I solve it-

#2 2012-10-31 01:47:25

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 82,665

Re: Diophantine equation

Hi Ronald;

I do not believe there is any solution to that in integers.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#3 2012-10-31 02:34:05

scientia
Member
Registered: 2009-11-13
Posts: 222

Re: Diophantine equation

Write
as
and treat it as a quadratic in
. The discriminant is

So the equation has no real solutions in x (let alone integer ones).

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