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Some Reals Sum Two (Posted on 2008-09-01) Difficulty: 3 of 5
Determine all possible real quadruplet(s) (P, Q, R, S) with P ≤ Q ≤ R ≤ S that satisfy this system of equations:

P + Q*R*S = 2, and:

Q + R*S*P = 2, and:

R + P*Q*S = 2, and:

S + P*Q*R = 2.

See The Solution Submitted by K Sengupta    
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re: solution checking | Comment 3 of 6 |
(In reply to solution checking by Steve Herman)

I see, you are correct, my solution was slightly flawed.  Thank you for pointing this out.  As is my tendency I rushed to the solution and wound up making simple mistakes along the way
  Posted by Daniel on 2008-09-01 14:21:20

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