\left\{ \begin{array} { l } { 1 + 2 x \cdot \lambda = 0 } \\ { 1 + 8 y \lambda = 0 } \\ { 1 + 18 z \lambda = 0 } \\ { x ^ { 2 } + 4 y ^ { 2 } + 9 z ^ { 2 } - 36 = 0 } \end{array} \right.
Solve for x, λ, y, z
x=-\frac{36}{7}\approx -5.142857143\text{, }y=-\frac{9}{7}\approx -1.285714286\text{, }z=-\frac{4}{7}\approx -0.571428571\text{, }\lambda =\frac{7}{72}\approx 0.097222222
x=\frac{36}{7}\approx 5.142857143\text{, }y=\frac{9}{7}\approx 1.285714286\text{, }z=\frac{4}{7}\approx 0.571428571\text{, }\lambda =-\frac{7}{72}\approx -0.097222222
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