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  • $\begingroup$ Well I use NSolve because I remember Solve didn't finish too, Do you think it would be possible to get the solution using Solve? Well now it was just great that you find a method to solve my problem but as I don't understand how you arrived at your conclusions the next time I face this problem (I have to solve a lot more polynomials that are even larger) maybe I won't know how to solve them. I mean, How did you get WorkingPrecision 100? $\endgroup$ Commented Dec 29, 2015 at 14:07
  • $\begingroup$ Another question is, Why did you enter the numbers this way? 827531/1000000 $\endgroup$ Commented Dec 29, 2015 at 14:10
  • $\begingroup$ @George. I didn't do anything with Solve because I regarded this as a numerics problem. I think Solve would have a lot of trouble with the 2nd set of your equations. I choose 100 for value of working precision by intuition. As I noted in my answer, if I had time, I would tried some smaller values. Numerics is an art, not a science. $\endgroup$ Commented Dec 29, 2015 at 14:14
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    $\begingroup$ @George. I used rationals for the constants because high working precision needs the problem expressed with high-precision values. It is futile to attempt to compute at high precision when the inputs are low precision. $\endgroup$ Commented Dec 29, 2015 at 14:20
  • $\begingroup$ Goldberg now it worked in my computer, it took some minutes but it worked. THank you very much for all your help, was great. :) $\endgroup$ Commented Dec 29, 2015 at 14:28