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

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

P= 0, or 1/3 are the only possible solutions to the given problem.
For an explanation, refer to:

Analytical solution submitted by xdog in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
solution	xdog	2015-07-21 11:27:32
Obvious ones	Jer	2015-07-20 14:21:24

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