一題勁難數學題,高手來

There has to be other conditions, otherwise there will be many solutions.
One solution is when a=b=c then 1+1/a=cube root of 2
and a=b=c=3.847

2010-02-06 14:08:36 補充：
If they are all positive integers, there can be some different sets of solutions:
(2,5,9), (2,6,7), (2,4,15), (3,3,8) and (3,4,5)

2010-02-07 00:28:14 補充：
If they are all positive integers, there can be some different sets of solutions:
(2,5,9), (2,6,7), (2,4,15), (3,3,8) and (3,4,5)


圖片參考：http://img39.imageshack.us/img39/3056/50768538.png


2010-02-07 00:28:23 補充：
http://img39.imageshack.us/img39/3056/50768538.png

2010-02-09 20:09:01 補充：
Consider this:
http://img269.imageshack.us/img269/624/26504725.png

(1,-1/2,-1/2), (-1/2, 1 , -1/2), (-1/2, -1/2, 1)

nelsonywm2000,
你是如何得到這些答案的??
分享下..

a=2
b=2
c=4
問題：
一題勁難數學題,高手來
(1+1/a) (1+1/b) (1+1/c) = 2

SOLVE FOR a , b, c

If only one equation but 3 variables, where will be infinitely many solutions for a, b and c.