Given that,
1/a - 1/b = X/(a - b) ...(1)
a/b + b/a = Y ...(2)
Can you prove this following??
Y = 2 - X
F2 maths~
2011-02-20 7:44 pm
回答 (3)
2011-02-20 7:58 pm
✔ 最佳答案
1/a - 1/b = X/(a - b) ...(1)a/b + b/a = Y ...(2)By (1) :X = (a - b)(1/a - 1/b) ....(3)(2) + (3) :Y + X = a/b + b/a + (a - b)(1/a - 1/b)Y + X = a/b + b/a + a/a - b/a - a/b + b/bY + X = a/a + b/bY + X = 1 + 1Y = 2 - X
2011-02-20 8:25 pm
No,
This question is from HKMO 2000 -2001
This question is from HKMO 2000 -2001
2011-02-20 8:18 pm
The question is adapted from CE.
2011-02-20 12:29:34 補充：
我曾經做過這題,不過我也解不到.
2011-02-20 12:29:34 補充：
我曾經做過這題,不過我也解不到.
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https://hk.answers.yahoo.com/question/index?qid=20110220000051KK00436