\left\{ \begin{array} { l } { x ^ { 2 } + y = 0 } \\ { x ^ { 3 } - 2 = 8 } \end{array} \right.
Solve for x, y (complex solution)
x=\sqrt[3]{10}\approx 2.15443469\text{, }y=-10^{\frac{2}{3}}\approx -4.641588834
x=\sqrt[3]{10}e^{\frac{2\pi i}{3}}\approx -1.077217345+1.865795172i\text{, }y=10^{\frac{2}{3}}e^{\frac{\pi i}{3}}\approx 2.320794417+4.019733844i
x=\sqrt[3]{10}e^{\frac{4\pi i}{3}}\approx -1.077217345-1.865795172i\text{, }y=10^{\frac{2}{3}}e^{\frac{5\pi i}{3}}\approx 2.320794417-4.019733844i
Solve for x, y
x=\sqrt[3]{10}\approx 2.15443469
y=-10^{\frac{2}{3}}\approx -4.641588834
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