由2xy+x2=x可得y=-1/2
把y=-1/2带入2xz+y2=y,2yx+z2=z后分别得到xz=1/4; -x+z2=z
再由-x+z2=z得出x=z
所以由xz=1/4和x=z这两个方程式得出x=z=1/2,
由此可得:x=1/2;y=-1/2,z=1/2
解方程组2xy+x2=x,2xz+y2=y,2yx+z2=z
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