Equations

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