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Infinitely Continued II (Posted on 2009-12-27) Difficulty: 4 of 5
The infinite continued fraction: x + 1/(y+ 1/(x+ 1/(y + ....))) is denoted by C(x, y).

Determine all possible quadruplet(s)(e, f, g, h) of positive integers that satisfy this equation:

    2                1             1
--------   -   ---------  =   ---
C(e, f)         C(g, h)        2

where e, f, g and h are distinct.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

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  Subject Author Date
SolutionsolutionJustin2009-12-29 16:16:00
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