Analytically determine all possible quadruplets (p, q, r, s) of real numbers satisfying the following system of equations:

p+q = 8
pq + r + s = 23
ps + qr = 28
rs = 12

(In reply to to begin with ....spoiler by Ady TZIDON)

In answer to the question "any more?", "Yes."

Besides (3, 5, 2, 6) and (5, 3, 6, 2)...

there are (4, 4, 3, 4) and (4, 4, 4, 3).

Edited on April 6, 2007, 10:22 pm

Posted by Dej Mar on 2007-04-06 22:20:52