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¥Ñ ¦t´¼ªiÃ^ ©ó ¬P´Á¤­ ¤C¤ë 14, 2006 1:49 pm


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¥Ñ adam12_3 ©ó ¬P´Á¤­ ¤C¤ë 14, 2006 2:56 pm


1.
(x^2+y^2)(x^3+y^3)=280
=[(x+y)^2-2xy][(x+y)^3-3xy(x+y)]
=(16-2xy)(64-2xy)
=1024-192xy-128xy+24(xy)^2
¥Oxy=a
3a^2-40a+93=0
a=31/3,3
when a=31/3 x,yµL¹ê¼Æ¸Ñ
when a=3,(x,y) =(1.3)or(3.1)
2.
log¨S¾Ç,¯dµ¹¨ä¥L°ª¤â

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¥Ñ p ©ó ¬P´Á¤­ ¤C¤ë 14, 2006 6:42 pm


a^2+b^2=c^2
a^2=(c+b)(c-b)
log(c+b) [a^2]= log(c+b)[ (c+b)(c-b)]
2 log(c+b) a= log(c+b)[ (c+b)]+ log(c+b)[(c-b)]=1+ log(c+b)[(c-b)]
2 log(c-b) a=1+ log(c-b)[(c+b)]

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2[ log(c-b) a+ log(c-b) a ]=2+ log(c-b)[(c+b)]+ log(c+b)[(c-b)]
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4 log(c-b) a* log(c-b) a
=1+ log(c-b)[(c+b)]+ log(c+b)[(c-b)]+ log(c-b)[(c+b)]*log(c+b)[(c-b)]
=1+ log(c-b)[(c+b)]+ log(c+b)[(c-b)]+1
=2+ log(c-b)[(c+b)]+ log(c+b)[(c-b)]

2[ log(c-b) a+ log(c-b) a ]= 4 log(c-b) a* log(c-b) a
log(c-b) a+ log(c-b) a= 2 log(c-b) a* log(c-b) a

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¥Ñ ¦t´¼ªiÃ^ ©ó ¬P´Á¤­ ¤C¤ë 14, 2006 9:57 pm


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¥Ñ ¯E¯E ©ó ¬P´Á¤» ¤C¤ë 15, 2006 9:06 am


3.x(x-1)=y(x+1)
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¥B(x,x+1)=1,(x,x-1)=1
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y  x+1 ¥²¦³¤@¶µ¬°0
(1)­Yx=0-->y=0
(2)­Yx-1=0,x=1->y=0
(3)­Yx+1=0,x=-1-->¤£¦X
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¥Ñ tangpakchiu ©ó ¬P´Á¤» ¤C¤ë 15, 2006 10:53 am


3.(x,y)=(0,0),(1,0),(1,-2)
 
 

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¥Ñ piny ©ó ¬P´Á¤» ¤C¤ë 15, 2006 10:54 am


3
(0,0),(1,0),(1,-2),(-2,-2),(0,-1),(-2,3),(6,-10),(6,3)


4
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n=1,¦¨¥ß
¥On=k®É,¦¨¥ß,§Y3k^5+5k^3+7k=15A,A¬°¥¿¾ã¼Æ

n=(k+1)®É,

3(k+1)^5+5(k+1)^3+7(k+1)
=15A+15k^4+30k^3+45k^2+30k+15

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¥Ñ ¦t´¼ªiÃ^ ©ó ¬P´Á¤» ¤C¤ë 15, 2006 1:51 pm


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¥Ñ ¦t´¼ªiÃ^ ©ó ¬P´Á¤@ ¤C¤ë 17, 2006 4:40 pm


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¥Ñ littlcrn ©ó ¬P´Á¤@ ¤C¤ë 17, 2006 7:26 pm


5.
27=3+24=3+3*8
18=6+12=3*2+3*4
©Ò¥H¬O3.6.12.24
§Ú¬O·s¥[¤Jªº·|­û..
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¥Ñ adam12_3 ©ó ¬P´Á¤@ ¤C¤ë 17, 2006 10:33 pm


5.³]¦¹¥|¼Æ¬°a,ar,ar^2,ar^3
a(r^3+1)=27
a(r^2+r)=18
¨â¦¡¬Û°£¦A¬ù¤À¦A¥æ¤e¬Û­¼±o2(r^2-r+1)=3r
2r^2-5r+2=0
r=2,1/2¥N¦^
±oa=3,24
(3,6,12,24)
(24,12,6,3)
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¥Ñ aa2191943 ©ó ¬P´Á¤é ¤C¤ë 23, 2006 6:41 pm


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¥Ñ tangpakchiu ©ó ¬P´Á¤é ¤C¤ë 23, 2006 6:52 pm


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¥Ñ aa2191943 ©ó ¬P´Á¤é ¤C¤ë 23, 2006 7:15 pm


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¥Ñ aa2191943 ©ó ¬P´Á¤é ¤C¤ë 23, 2006 7:20 pm


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