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 Some Reals Sum Two (Posted on 2008-09-01)
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.

 Submitted by K Sengupta No Rating Solution: (Hide) (P,Q,R,S) = (1,1,1,1) and (-1,-1,-1,3). EXPLANATION: Refer to the methodologies submitted by Daniel and Steve Herman in the first two comments.

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 Subject Author Date re(2): Unreal! Steve Herman 2008-09-01 20:02:20 re: Unreal! Ady TZIDON 2008-09-01 17:48:00 Unreal! Steve Herman 2008-09-01 15:23:28 re: solution checking Daniel 2008-09-01 14:21:20 solution checking Steve Herman 2008-09-01 14:06:10 solution (spoiler) Daniel 2008-09-01 13:06:26
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