Re: diofantea

Article View: it.scienza.matematica

Article #37

Back to it.scienza.matematica Previous Next

#37

From: Ignacio Larrosa Cañestro
Date: Mon, 07 Nov 2011 21:25

29 lines
2074 bytes

Ignacio Larrosa Ca�estro wrote:
> superpollo wrote:
>> superpollo ha scritto:
>>> risolvere per x,y interi positivi:
>>>
>>> x^4/y = (y+4)*(y^2-1)*(y^2-4)*(y^2-9)
>>
>> hola! quieria extender el problema a e.c.m.
>
>
> Multiplicando por y, con lo que no deberemos tener en cuenta las
> soluciones con y = 0, queda
>
> x^4 = (y+4)(y+3)(y+2)(y+1)y(y-1)(y-2)(y-3)
>
> La �nica posibilidad de que el producto de 8 enteros consecutivos sea
> cero,

quise decir "una cuarta potencia", no "cero".

> es que lo sea alguno de ellos, con lo que x = 0 y no hay
> soluciones positivas.

Saludos,

Ignacio Larrosa Ca�estro
A Coru�a (Espa�a)
ilarrosaQUITARMAYUSCULAS@mundo-r.com
http://www.xente.mundo-r.com/ilarrosa/GeoGebra/

Technical Details

Message-ID: <9hr0m7F622U1@mid.individual.net>

Path:

arc1-ca.pugleaf.net!h5ni9990pba.0!nntp.google.com!news1.google.com!news4.google.com!fu-berlin.de!uni-berlin.de!individual.net!not-for-mail

References:

<4eb8016f$0$1393$4fafbaef@reader1.news.tin.it> <4eb83178$0$1384$4fafbaef@reader1.news.tin.it> <9hqvhqFrpiU1@mid.individual.net>

Show Full Headers

Complete Article Headers

X-Google-Thread: 111b2f,e00b695b1a253a42
X-Google-NewGroupId: yes
X-Google-Thread: 1100bb,b3205e1451d05da
X-Google-NewGroupId: yes
X-Google-Attributes: gida5cb1cf3ba,gid86fa7e1a96,domainid0,public,usenet
X-Google-Language: SPANISH,ASCII
Received: by 10.68.35.68 with SMTP id f4mr1008043pbj.5.1320701128798;
        Mon, 07 Nov 2011 13:25:28 -0800 (PST)
Path: arc1-ca.pugleaf.net!h5ni9990pba.0!nntp.google.com!news1.google.com!news4.google.com!fu-berlin.de!uni-berlin.de!individual.net!not-for-mail
From: Ignacio Larrosa Cañestro <ilarrosaQUITARMAYUSCULAS@mundo-r.com>
Newsgroups: it.scienza.matematica,es.ciencia.matematicas
Subject: Re: diofantea
Date: Mon, 7 Nov 2011 22:25:17 +0100
Lines: 30
Message-ID: <9hr0m7F622U1@mid.individual.net>
References: <4eb8016f$0$1393$4fafbaef@reader1.news.tin.it> <4eb83178$0$1384$4fafbaef@reader1.news.tin.it> <9hqvhqFrpiU1@mid.individual.net>
Mime-Version: 1.0
X-Trace: individual.net naUbnTrQLv4EmMN9IIwIEQmJcK16l+a9OIxcmfuQzZ0yiU4RBr
Cancel-Lock: sha1:MoYFs+KpEHwkMMxNi5exwCLFWek=
X-Priority: 3
X-MSMail-Priority: Normal
X-Newsreader: Microsoft Outlook Express 6.00.2900.5931
X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2900.6109
Content-Type: text/plain;
 format=flowed;
 charset="ISO-8859-15";
 reply-type=response
Content-Transfer-Encoding: 8bit

Reply to Parent Message