there are n integer, their sum is 0, product is n, Prove that n is divisible by 4.
要詳盡解釋.唔該.
數學問題：數論(20分)
2010-04-29 3:26 am
回答 (5)
2010-04-29 6:41 am
✔ 最佳答案
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2010-04-28 22:41:42 補充：
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2010-05-06 12:08 am
2010-04-29 8:00 am
nelson好勁...仲可以計到個數出黎~
2010-04-29 6:16 am
2 is not divisible by 4 !!
2010-04-29 4:47 am
This is wrong.
Take n = 2, let a, b be the 2 integers.
a + b = 0
ab = 2
a+b = 0 implies a = -b
implies 2 = ab = -a^2 < 0.
Contradiction!
Take n = 2, let a, b be the 2 integers.
a + b = 0
ab = 2
a+b = 0 implies a = -b
implies 2 = ab = -a^2 < 0.
Contradiction!
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原文連結 [永久失效]:
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