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Problem #433

Equations
 Public ★(x10) 10/09/17 by sinan 6xp Math 100.0%

The following equations are given:

x2 + y2 + x·y = a
y2 + z2 + y·z = b
z2 + x2 + z·x = c

Find positive (x,y,z) triples when a=sqrt(i+1), b=sqrt(i+2), c=sqrt(i+3) for i=1 to N where N = 1923.

Answer format=∑x,∑y,∑z where each sum is a number rounded to 10 digits after the decimal point

Example: 2.4103394172,2.1120641648,2.7525737652 for N = 3


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