Four non-linear equations in Four variables

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Hey,
I have four equations of the form:
x^2 + y^2 + z^2 + A1*x + B1*y + C1*z - D1*R + E1=0
Similarly, I have three more equations (with "1" replaced in above equation by 2,3,4)
I need to get x,y,z and R in terms of (A1,B1,C1,D1,E1....A4,B4,C4,D4,E4).
Any help in this regard will be greatly appreciated. Thanks.
  5 Comments
Walter Roberson
Walter Roberson on 18 Mar 2013
Processing is taking a fair while.
What is it that your equations represent? It looks like some kind of conic ?
Walter Roberson
Walter Roberson on 18 Mar 2013
I worked iterative, finding x, then y; but finding z chewed up more than an hour of CPU time on my machine before I killed it (I needed the CPU back.)

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