Deutsch   English   Français   Italiano  
<Qg1CoW0fH_bSpVyO9ewIQDfGiUU@jntp>

View for Bookmarking (what is this?)
Look up another Usenet article

Path: ...!3.eu.feeder.erje.net!feeder.erje.net!usenet.goja.nl.eu.org!pasdenom.info!from-devjntp
Message-ID: <Qg1CoW0fH_bSpVyO9ewIQDfGiUU@jntp>
JNTP-Route: news2.nemoweb.net
JNTP-DataType: Article
Subject: Re: =?UTF-8?Q?R=C3=A9soudre=20cette=20=C3=A9galit=C3=A9?=
References: <zF0ezWzZVwyFPc1y2dkU7tlBpJg@jntp> <u5lh8p$65g$1@shakotay.alphanet.ch>
Newsgroups: fr.sci.maths
JNTP-HashClient: t9q6vzzIKiRGViFTyvi2ix4Q7jA
JNTP-ThreadID: y5AARJZgCgK-TFGI3u9nMz3g4lY
JNTP-Uri: http://news2.nemoweb.net/?DataID=Qg1CoW0fH_bSpVyO9ewIQDfGiUU@jntp
User-Agent: Nemo/0.999a
JNTP-OriginServer: news2.nemoweb.net
Date: Mon, 05 Jun 23 22:10:27 +0000
Organization: Nemoweb
JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/114.0.0.0 Safari/537.36
Injection-Info: news2.nemoweb.net; posting-host="dedfcf59a7c832644f5463c41a9f790ecbb0a5e4"; logging-data="2023-06-05T22:10:27Z/7966970"; posting-account="4@news2.nemoweb.net"; mail-complaints-to="newsmaster@news2.nemoweb.net"
JNTP-ProtocolVersion: 0.21.1
JNTP-Server: PhpNemoServer/0.94.5
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
X-JNTP-JsonNewsGateway: 0.96
From: Richard Hachel <r.hachel@tiscali.fr>
Bytes: 1834
Lines: 17

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.