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Date: Mon, 05 Jun 23 22:10:27 +0000
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From: Richard Hachel <r.hachel@tiscali.fr>
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Le 05/06/2023 à 22:40, robby a écrit :
> Le 05/06/2023 à 21:20, Richard Hachel a écrit :
>> (1/x)+(1/y)=(1/10) 
>> x et y entiers naturels.
> 
> - il y a symétrie entre les solutions  (x,y) et (y,x)
> 
> -  y = 1/ ( 1/10 - 1/x ) =  10x / ( x - 10  )
>     donc x >= 10 et x doit diviser 10 :
>     x =: 10X → y = 10X / ( X - 1 )
>     donc  X-1  divise 10, donc = 1, 2, 5 ou 10
> 
>     donc x = 20, 30, 6O ou 110 ( correspondant à y = 20, 15, 12, 11 )
>     + symétrique (y,x).

Non.

R.H.