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Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 已解決
Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 已解決 
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國二數2008-8
Dec 5th 2013, 03:26

2013-12-05 14:19:26 補充

(a,b)即以下12種:
(1,585) , 不合 (因為a > b才可)
(13,45) , 不合
(5,117) , 不合
(65,9) , 故(x,y)=(37,28)
(3,195) , 不合
(39,15) , 故(x,y)=(27,12)
(15,39) , 不合
(195,3) , 故(x,y)=(99,96)
(9,65) , 不合
(117,5) , 故(x,y)=(61,56)
(45,13) , 故(x,y)=(29,16)
(585,1) , 故(x,y)=(293,292)
故滿足條件的解有6組

2013-12-05 14:19:33 補充

Ans: 6組

註 : 這6組是(x,y) = (37,28), (27,12), (99,96), (61,56), (29,16), (293,292)

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