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.

(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