求解三元二次方程

问题描述:

求解三元二次方程
4(x^2 +y^2)-3x^2=4c^2
(x^2+y^2)+c^2=10cx/3

我用的Mathematica解的,NSolve[{4 (x^2 + y^2) - 3 x^2 == 4 c^2, (x^2 + y^2) + c^2 ==10 c x/3, x^2 + y^2 == 31/9}, {x, y, c}]得到:{{c -> -1.57789, y -> -1.4736, x -> -1.12825}, {c -> -1.57789,y ...