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 ¨D¥¿¾ã¼Æ¸Ñ


x,y,z¬O¥¿¾ã¼Æ¡A(x,y,z)=1¡A¸Õ¨D7x^2+13y^2=5z^2ªº¥¿¾ã¼Æ¸Ñ ¡H

 2006-03-19 22:01
s87009812
Just can't stay away



µù¥U¤é: 2004-07-25
µoªí¼Æ: 132
¥x¥_¥«¥ß´º¬ü°ê¤¤

 Re: ¨D¥¿¾ã¼Æ¸Ñ

x=y y=2x

7x^2+13x^2=20x^2=5(2x)^2.

©Ò¥H¥¿¾ã¼Æ²Å¦Xx=y y=2xªº³£¥i¥H.

¨Ò¦p¨úx=4. y=4 z=8
7*4^2+13*4^2=5*8^2=320

¦ý¬O¤T¼Æ¤S­n¤¬½è,©Ò¥H¥u¯à¨ú
x=1 y=1 z=2³o²Õ¼Æ¹ï. §_«h³£·|¦³x³o­Ó¤½¦]¼Æ.


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 2006-03-19 22:36­Ó¤H¸ê®Æ¶Ç°e Email µ¹ s87009812
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 Re: ¨D¥¿¾ã¼Æ¸Ñ

¤£ª¾¹D¦³¨S¦³¦n¤@ÂIªº¤èªk
¥Ø«e¥u§ä¨ì(x,y,z)=(1,1,2)

 2006-03-19 22:42
joshnash
Just popping in



µù¥U¤é: 2006-03-06
µoªí¼Æ: 16


 Re: ¨D¥¿¾ã¼Æ¸Ñ

¦ý¬O§Ú¦bµL·N¤¤ÁÙµo²{
x=4,y=1,z=5³o²Õ­C...
¤£ª¾ÃÑ«ç»ò¼Ë@@"

 2006-03-20 20:54­Ó¤H¸ê®Æ«ô³Xºô¯¸
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 Re: ¨D¥¿¾ã¼Æ¸Ñ

µª®×À³¸Ó´N¥u¦³
(1,1,2) (4,1,5)¨â²Õ

 2006-05-19 22:36
aa963854116
Home away from home



µù¥U¤é: 2006-01-06
µoªí¼Æ: 392
±q¥¼µo²{¤§89¸¹¬P®y

 Re: ¨D¥¿¾ã¼Æ¸Ñ

¥Ø«e§Ú¤]¥u§ä¨ì³o¨â²Õ
¤£ª¾¹D¦³¨S¦³§¹¾ãªºÃÒ©ú
¥iÃÒ±oµL¨ä¥L¸Ñ

 2006-05-19 22:59­Ó¤H¸ê®Æ
linian
Home away from home



µù¥U¤é: 2005-11-07
µoªí¼Æ: 292


 Re: ¨D¥¿¾ã¼Æ¸Ñ

¤Þ¤å:

s87009812 ¼g¹D:
x=y y=2x

7x^2+13x^2=20x^2=5(2x)^2.

©Ò¥H¥¿¾ã¼Æ²Å¦Xx=y y=2xªº³£¥i¥H.

¨Ò¦p¨úx=4. y=4 z=8
7*4^2+13*4^2=5*8^2=320

¦ý¬O¤T¼Æ¤S­n¤¬½è,©Ò¥H¥u¯à¨ú
x=1 y=1 z=2³o²Õ¼Æ¹ï. §_«h³£·|¦³x³o­Ó¤½¦]¼Æ.


x=y y=2x¼g¿ù¤F§a¡A¬Oz=2x


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 2006-05-19 23:03­Ó¤H¸ê®Æ¶Ç°e Email µ¹ linian«ô³Xºô¯¸
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 Re: ¨D¥¿¾ã¼Æ¸Ñ

µý©úµª®×¥u¦³¯S©w¨â²Õ
³]z=x+y+c
¨ä¤¤x©My¬°¥¿¾ã¼Æ,c¬°¾ã¼Æ
©Ò¥H
7x^2+13y^2=5(x+y+c)^2
¾ã²z«á±o
2x^2-10(y+c)x+(8y^2-5c^2-10yc)=0
¦¹x¤G¦¸¤èµ{¬O¦³¨â¬Û²§¾ã¼Æ¸Ñªº,©Ò¥H
25(y+c)^2-2(8y^2-5c^2-10yc)¥²¶·¬O§¹¥þ¥­¤è
¾ã²z¤W¦¡
9y^2+70cy+35c^2¥²¶·¬O§¹¥þ¥­¤è,©Ò¥H
(70c)^2-4*9*35c^2=0
3640c^2=0
©Ò¥H c=0
¥N¦^­ì¦¡¥i±o
7x^2+13y^2=5(x+y)^2
(x-y)(x-4y)=0
x=y,x=4y
¬G±oµª®×¥u¦³
(1,1,2)(4,1,5)¨â²Õ

 2006-05-20 12:40
linian
Home away from home



µù¥U¤é: 2005-11-07
µoªí¼Æ: 292


 Re: ¨D¥¿¾ã¼Æ¸Ñ

¤F¸Ñ¤F


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KH~~
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˦Çq•MÆõ³õ©ÒÇV
¤@ºüÇGÇO«HÆþÇMÆêÇeÇ@

 2006-05-20 13:38­Ó¤H¸ê®Æ¶Ç°e Email µ¹ linian«ô³Xºô¯¸
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 Re: ¨D¥¿¾ã¼Æ¸Ñ

·Ó²z»¡z=ax+by+c
¬°¤°»ò³oÃä¥i°²³]z=x+y+c©O?

¤Þ¤å:

¼g¹D:
µý©úµª®×¥u¦³¯S©w¨â²Õ
³]z=x+y+c


 2006-05-20 22:08
¨ì ( 1 | 2 | 3 ¤U­¶ )


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