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Jan 19, 2013 at 14:19 comment added Federico Poloni "That all equations are of degree 2 does not help much." Indeed. By adding some additional variables, you can reduce any set of simultaneous polynomial equations one involving quadratic equations only.
Jan 18, 2013 at 23:10 comment added Robert Bailey Thanks for the suggestions of books to look at. I've expanded on my original question to describe the system of equations.
Jan 18, 2013 at 20:38 vote accept Robert Bailey
Jan 18, 2013 at 0:20 history answered Alexandre Eremenko CC BY-SA 3.0