請教國二數學上,若x-1/y=3,xy+1/xy=39,則y-1/x=?

2016-10-02 8:15 am

回答 (1)

2016-10-02 8:45 am
✔ 最佳答案
xy + 1/(xy) = 39
xy - x/x - y/y + 1/(xy) = 39 - x/x - y/y
x(y - 1/x) - (1/y)(y - 1/x) = 37
(x - 1/y) (y - 1/x) = 37
3 (y - 1/x) = 37
y - 1/x = 37/3


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