perplexus.info :: Just Math : Simultaneous Real Settlement

Simultaneous Real Settlement (Posted on 2015-07-20)

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

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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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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