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[SPAM] [obm-l] OBM TERCEIRA FASE ? NÍVEL 3 -- 2ª questão
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- Subject: [SPAM] [obm-l] OBM TERCEIRA FASE ? NÍVEL 3 -- 2ª questão
- From: douglas paula <douglasfogo@xxxxxxxxxxxx>
- Date: Sat, 17 May 2008 23:02:49 -0300 (ART)
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XXIX OLIMPÍADA BRASILEIRA DE MATEMÁTICA
TERCEIRA FASE ? NÍVEL 3 (Ensino Médio)
PRIMEIRO DIA
PROBLEMA 2
Para quantos números inteiros c, − 2007 ≤ c ≤ 2007 , existe um inteiro x tal que x^2 + c é múltiplo de 2^2007?
alguém se habilita?
grato,
Douglas
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<B><FONT face=ArialNarrow-Bold> <div align=left>XXIX OLIMPÍADA BRASILEIRA DE MATEMÁTICA</div> <div align=left>TERCEIRA FASE ? NÍVEL 3 (Ensino Médio)</div> <div>PRIMEIRO DIA</div> <div> </div><B><FONT face=ArialNarrow-Bold size=2> <div align=left>PROBLEMA 2</div></B></FONT><FONT face=TimesNewRoman size=3> <div>Para quantos números inteiros </FONT><I><FONT face=TimesNewRoman,Italic size=3>c</I></FONT><FONT face=TimesNewRoman size=3>, </FONT><FONT face=SymbolMT size=3>− </FONT><FONT face=TimesNewRoman size=3>2007 </FONT><FONT face=SymbolMT size=3>≤ </FONT><I><FONT face=TimesNewRoman,Italic size=3>c </I></FONT><FONT face=SymbolMT size=3>≤ </FONT><FONT face=TimesNewRoman size=3>2007 , existe um inteiro </FONT><I><FONT face=TimesNewRoman,Italic size=3>x </I></FONT><FONT face=TimesNewRoman size=3>tal que </FONT><I><FONT face=TimesNewRoman,Italic size=3>x^</I></FONT><FONT face=TimesNewRoman size=1>2 </FONT><FONT face=TimesNewRoman size=3>+
</FONT><I><FONT face=TimesNewRoman,Italic size=3>c </I></FONT><FONT face=TimesNewRoman size=3>é múltiplo de 2^</FONT><FONT face=TimesNewRoman size=1>2007</FONT><FONT face=TimesNewRoman size=3>?</FONT></div> <div><FONT face=TimesNewRoman size=3></FONT> </div> <div><FONT face=TimesNewRoman size=3>alguém se habilita?</FONT></div> <div><FONT face=TimesNewRoman size=3></FONT> </div> <div><FONT face=TimesNewRoman size=3>grato, </FONT></div> <div><FONT face=TimesNewRoman size=3> Douglas</div></FONT></B></FONT><p> 
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