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[SPAM] [obm-l] Re: [obm-l] OBM TERCEIRA FASE – NÍVEL 3 -- 2ª questão
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- Subject: [SPAM] [obm-l] Re: [obm-l] OBM TERCEIRA FASE – NÍVEL 3 -- 2ª questão
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- Date: Tue, 27 May 2008 01:30:44 -0300
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vou tentar,
2^n - x^2 =3D c tal qque 1< n < 2007, como todo n=C3=BAmero pode ser =
expresso como diferen=C3=A7a de dois quadrados, s=C3=B3 existem "c" tal =
que n possa ser um quadrado, de sorte que c seja expresso como =
diferen=C3=A7a de dois quadrados
----- Original Message -----=20
From: douglas paula=20
To: obm-l@xxxxxxxxxxxxxx=20
Sent: Saturday, May 17, 2008 11:02 PM
Subject: [obm-l] OBM TERCEIRA FASE =E2=80=93 N=C3=8DVEL 3 -- 2=C2=AA =
quest=C3=A3o
XXIX OLIMP=C3=8DADA BRASILEIRA DE MATEM=C3=81TICA
TERCEIRA FASE =E2=80=93 N=C3=8DVEL 3 (Ensino M=C3=A9dio)
PRIMEIRO DIA
PROBLEMA 2
Para quantos n=C3=BAmeros inteiros c, =E2=88=92 2007 =E2=89=A4 c =
=E2=89=A4 2007 , existe um inteiro x tal que x^2 + c =C3=A9 =
m=C3=BAltiplo de 2^2007?
algu=C3=A9m se habilita?
grato,=20
Douglas
-------------------------------------------------------------------------=
-----
Abra sua conta no Yahoo! Mail, o =C3=BAnico sem limite de espa=C3=A7o =
para armazenamento!
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<BODY bgColor=3D#ffffff>
<DIV><FONT face=3DArial size=3D2>vou tentar,</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>2^n - x^2 =3D c tal qque 1< n < =
2007, como todo=20
n=C3=BAmero pode ser expresso como diferen=C3=A7a de dois quadrados, =
s=C3=B3 existem "c" tal=20
que n possa ser um quadrado, de sorte que c seja expresso como =
diferen=C3=A7a de dois=20
quadrados</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<BLOCKQUOTE=20
style=3D"PADDING-RIGHT: 0px; PADDING-LEFT: 5px; MARGIN-LEFT: 5px; =
BORDER-LEFT: #000000 2px solid; MARGIN-RIGHT: 0px">
<DIV style=3D"FONT: 10pt arial">----- Original Message ----- </DIV>
<DIV=20
style=3D"BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: =
black"><B>From:</B>=20
<A title=3Ddouglasfogo@xxxxxxxxxxxx=20
href=3D"mailto:douglasfogo@xxxxxxxxxxxx";>douglas paula</A> </DIV>
<DIV style=3D"FONT: 10pt arial"><B>To:</B> <A =
title=3Dobm-l@xxxxxxxxxxxxxx=20
href=3D"mailto:obm-l@xxxxxxxxxxxxxx";>obm-l@xxxxxxxxxxxxxx</A> </DIV>
<DIV style=3D"FONT: 10pt arial"><B>Sent:</B> Saturday, May 17, 2008 =
11:02=20
PM</DIV>
<DIV style=3D"FONT: 10pt arial"><B>Subject:</B> [obm-l] OBM TERCEIRA =
FASE =E2=80=93=20
N=C3=8DVEL 3 -- 2=C2=AA quest=C3=A3o</DIV>
<DIV><BR></DIV><B><FONT face=3DArialNarrow-Bold>
<DIV align=3Dleft>XXIX OLIMP=C3=8DADA BRASILEIRA DE =
MATEM=C3=81TICA</DIV>
<DIV align=3Dleft>TERCEIRA FASE =E2=80=93 N=C3=8DVEL 3 (Ensino =
M=C3=A9dio)</DIV>
<DIV>PRIMEIRO DIA</DIV>
<DIV> </DIV><B><FONT face=3DArialNarrow-Bold size=3D2>
<DIV align=3Dleft>PROBLEMA 2</DIV></B></FONT><FONT =
face=3DTimesNewRoman size=3D3>
<DIV>Para quantos n=C3=BAmeros inteiros </FONT><I><FONT =
face=3DTimesNewRoman,Italic=20
size=3D3>c</I></FONT><FONT face=3DTimesNewRoman size=3D3>, =
</FONT><FONT=20
face=3DSymbolMT size=3D3>=E2=88=92 </FONT><FONT face=3DTimesNewRoman =
size=3D3>2007=20
</FONT><FONT face=3DSymbolMT size=3D3>=E2=89=A4 </FONT><I><FONT =
face=3DTimesNewRoman,Italic=20
size=3D3>c </I></FONT><FONT face=3DSymbolMT size=3D3>=E2=89=A4 =
</FONT><FONT=20
face=3DTimesNewRoman size=3D3>2007 , existe um inteiro </FONT><I><FONT =
face=3DTimesNewRoman,Italic size=3D3>x </I></FONT><FONT =
face=3DTimesNewRoman=20
size=3D3>tal que </FONT><I><FONT face=3DTimesNewRoman,Italic=20
size=3D3>x^</I></FONT><FONT face=3DTimesNewRoman size=3D1>2 =
</FONT><FONT=20
face=3DTimesNewRoman size=3D3>+ </FONT><I><FONT =
face=3DTimesNewRoman,Italic size=3D3>c=20
</I></FONT><FONT face=3DTimesNewRoman size=3D3>=C3=A9 m=C3=BAltiplo de =
2^</FONT><FONT=20
face=3DTimesNewRoman size=3D1>2007</FONT><FONT face=3DTimesNewRoman=20
size=3D3>?</FONT></DIV>
<DIV><FONT face=3DTimesNewRoman size=3D3></FONT> </DIV>
<DIV><FONT face=3DTimesNewRoman size=3D3>algu=C3=A9m se =
habilita?</FONT></DIV>
<DIV><FONT face=3DTimesNewRoman size=3D3></FONT> </DIV>
<DIV><FONT face=3DTimesNewRoman size=3D3>grato, </FONT></DIV>
<DIV><FONT face=3DTimesNewRoman=20
=
size=3D3> &nbs=
p; =20
Douglas</DIV></FONT></B></FONT>
<P>
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Abra sua conta no <A=20
=
href=3D"http://br.rd.yahoo.com/mail/taglines/mail/*http://br.mail.yahoo.c=
om/">Yahoo!=20
Mail</A>, o =C3=BAnico sem limite de espa=C3=A7o para armazenamento!=20
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