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Curious Real Additive Relationship (Posted on 2008-04-12)

Are there any non zero real triplet(s) (p, q, r) that satisfy the following system of equations?

p + 1/p = q, q + 1/q = r, and r + 1/r = p

If such triplet(s) exist, find at least one of these. Otherwise, prove that no such triplet can conform to the given conditions.

Submitted by K Sengupta

Rating: 3.0000 (2 votes)

Solution: (Hide)

No such triplet can conform to the given conditions.

EXPLANATION:

I. Refer to the solution submitted by Dennis in this location.

II. Refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: alternate solution	K Sengupta	2008-05-05 14:45:40
re: solution	K Sengupta	2008-05-05 14:43:15
alternate solution	Dennis	2008-04-12 20:51:13
Accept no substitutes	Steve Herman	2008-04-12 20:25:36
solution	Charlie	2008-04-12 14:26:33

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