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Simultaneous Real Settlement (Posted on 2015-07-20) Difficulty: 3 of 5
Determine all quadruplets (P,Q,R,S) of real numbers that satisfy this system of equations:

(Q+R+S)2016 = 3P, and:

(P+R+S)2016 = 3Q, and:

(P+Q+S)2016 = 3R, and:

(P+Q+R)2016 = 3S

No Solution Yet Submitted by K Sengupta    
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Some Thoughts Obvious ones | Comment 1 of 2
If P=Q=R=S
then P=1/3 and P=0 both work

  Posted by Jer on 2015-07-20 14:21:24
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