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Hoping someone can give me some guidance on solving the following system of 3 nonlinear equations in 3 variables:

$$\left\{\begin{align*} &x^2+y^2=100\\ &xy+yz=-102\\ &y^2+z^2=117 \end{align*}\right.$$

Thanks!

  • 1
    Are you solving over the naturals, the integers, the reals, or complex numbers?2012-09-05

2 Answers 2