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[SPAM] [obm-l] x^2 - xy + y^2 = Cte
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- Subject: [SPAM] [obm-l] x^2 - xy + y^2 = Cte
- From: "Bouskela" <bouskela@xxxxxxxxx>
- Date: Sat, 28 Jun 2008 00:33:55 -0300
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Content-Type: text/plain;
charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable
Demonstre que a equa=E7=E3o:
x^2 - xy + y^2 =3D Cte
Onde "Cte" =E9 uma constante inteira e positiva.
Tem um n=FAmero FINITO de solu=E7=F5es inteiras; e mais: ESTE N=DAMERO =
=C9 M=DALTIPLO DE
"6".
A depender do valor da constante inteira e positiva "Cte", o n=FAmero de
solu=E7=F5es inteiras desta equa=E7=E3o =E9:
=3D 0 , p.ex.: Cte =3D 2, 5, 6, 8, 10, 11, 14, 15, 17, 18, 20, 22, 23, =
24, 26,
29, 30, 32, 33, 34, 35, 38, 40, 41, 42, 44, 45, 46, 47, 50, 51, 53, 54, =
55,
56, 58, 59, 60, 62, 65, 66, 68, 69, 70, 71, 72, 74, 77, 78, 80, 82, 83, =
85,
86, 87, 88, 89, 90, 92, 94, 95, 96, 98, 99 etc.
=3D 1 , Cte =3D 0
=3D 6 , p.ex.: Cte =3D 1, 3, 4, 9, 12, 16, 25, 27, 36, 48, 64, 75, 81, =
100 etc.
=3D 12 , p.ex.: Cte =3D 7, 13, 19, 21, 28, 31, 37, 39, 43, 52, 57, 61, =
63, 67,
73, 76, 79, 84, 93, 97 etc.
=3D 18 , p.ex.: Cte =3D 49 etc.
=3D 24 , p.ex.: Cte =3D 91 etc.
Sds.,
AB
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Content-Type: text/html;
charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META http-equiv=3DContent-Type content=3D"text/html; =
charset=3Diso-8859-1">
<META content=3D"MSHTML 6.00.6000.16674" name=3DGENERATOR></HEAD>
<BODY>
<DIV>
<P><FONT face=3DVerdana size=3D2>Demonstre que a equa=E7=E3o:</FONT></P>
<P><FONT face=3DVerdana size=3D2>x^2 - xy + y^2 =3D Cte</FONT></P>
<P><FONT face=3DVerdana size=3D2>Onde "Cte" =E9 uma constante inteira e=20
positiva.</FONT></P>
<P><FONT face=3DVerdana size=3D2></FONT></P>
<P><FONT face=3DVerdana size=3D2>Tem um n=FAmero FINITO de solu=E7=F5es =
inteiras; e mais:=20
ESTE N=DAMERO =C9 M=DALTIPLO DE "6".</FONT></P>
<P><FONT face=3DVerdana size=3D2>A depender do valor da constante =
inteira e positiva=20
"Cte", o n=FAmero de solu=E7=F5es inteiras desta equa=E7=E3o =
=E9:</FONT></P>
<P><FONT face=3DVerdana size=3D2>=3D 0 , p.ex.: Cte =3D 2, 5, 6, 8, 10, =
11, 14, 15, 17,=20
18, 20, 22, 23, 24, 26, 29, 30, 32, 33, 34, 35, 38, 40, 41, 42, 44, 45, =
46, 47,=20
50, 51, 53, 54, 55, 56, 58, 59, 60, 62, 65, 66, 68, 69, 70, 71, 72, 74, =
77, 78,=20
80, 82, 83, 85, 86, 87, 88, 89, 90, 92, 94, 95, 96, 98, 99 =
etc.</FONT></P>
<P><FONT face=3DVerdana size=3D2>=3D 1 , Cte =3D 0</FONT></P>
<P><FONT face=3DVerdana size=3D2>=3D 6 , p.ex.: Cte =3D 1, 3, 4, 9, 12, =
16, 25, 27, 36,=20
48, 64, 75, 81, 100 etc.</FONT></P>
<P><FONT face=3DVerdana size=3D2>=3D 12 , p.ex.: Cte =3D 7, 13, 19, 21, =
28, 31, 37, 39,=20
43, 52, 57, 61, 63, 67, 73, 76, 79, 84, 93, 97 etc.</FONT></P>
<P><FONT face=3DVerdana size=3D2>=3D 18 , p.ex.: Cte =3D 49 =
etc.</FONT></P>
<P><FONT face=3DVerdana size=3D2>=3D 24 , p.ex.: Cte =3D 91 =
etc.</FONT></P>
<P><FONT face=3DVerdana size=3D2>Sds.,</FONT></P>
<P><SPAN class=3D390563023-26062008><FONT face=3DVerdana=20
size=3D2>AB</FONT></SPAN></P></DIV></BODY></HTML>
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