\left\{ \begin{array} { l } { 1 + \lambda = 0 } \\ { 2 + \lambda + 2 \mu y = 0 } \\ { \lambda + 2 \mu z = 0 } \\ { x + y + z - 1 = 0 } \\ { y ^ { 2 } + z ^ { 2 } - 4 = 0 } \end{array} \right.
Solve for λ, μ, y, z, x
x=1\text{, }y=\sqrt{2}\approx 1.414213562\text{, }z=-\sqrt{2}\approx -1.414213562\text{, }\lambda =-1\text{, }\mu =-\frac{\sqrt{2}}{4}\approx -0.353553391
x=1\text{, }y=-\sqrt{2}\approx -1.414213562\text{, }z=\sqrt{2}\approx 1.414213562\text{, }\lambda =-1\text{, }\mu =\frac{\sqrt{2}}{4}\approx 0.353553391
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