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Curious Real Additive Relationship II (Posted on 2008-05-28) Difficulty: 2 of 5
Refer to the earlier problem.

Can you find all possible non zero real quadruplet(s) (P, Q, R, S) that satisfy the following system of simultaneous equations?

2*Q = P + 19/P, and:

2*R = Q + 19/Q, and:

2*S = R + 19/R, and:

2*P = S + 19/S.

Bonus Question:

In the problem given above, if the number 19 was replaced throughout by a real constant M > 1, what would have been the possible non zero real quadruplet(s) (P, Q, R, S) that satisfy the given set of equations, in terms of M?

See The Solution Submitted by K Sengupta    
Rating: 2.5000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: SolutionK Sengupta2008-07-28 11:57:58
SolutionSolutionPraneeth2008-05-30 07:12:49
Some ThoughtsMore generally ...Steve Herman2008-05-28 17:01:29
SolutionAha! (spoiler)Steve Herman2008-05-28 16:56:56
An obvious start (spoiler)Steve Herman2008-05-28 13:56:14
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