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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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#1 2012-10-31 23:52:43

Ronald
Guest

Diophantine equation

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

#2 2012-11-01 00:47:25

bobbym
Administrator

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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.

#3 2012-11-01 01:34:05

scientia
Full Member

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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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