Solve {l}{x^2=-4y}{y^2=-8x}

$$\left\{ \begin{array} { l } { x ^ { 2 } = - 4 y } \\ { y ^ { 2 } = - 8 x } \end{array} \right.$$

Solve for x, y (complex solution)

$$x=0\text{, }y=0$$

$$x=4\sqrt[3]{2}e^{\frac{\pi i}{3}}\approx 2.5198421+4.364494544i\text{, }y=4\times 2^{\frac{2}{3}}e^{\frac{5\pi i}{3}}\approx 3.174802104-5.498918548i$$

$$x=-4\sqrt[3]{2}\approx -5.0396842\text{, }y=-4\times 2^{\frac{2}{3}}\approx -6.349604208$$

$$x=4\sqrt[3]{2}e^{\frac{5\pi i}{3}}\approx 2.5198421-4.364494544i\text{, }y=4\times 2^{\frac{2}{3}}e^{\frac{\pi i}{3}}\approx 3.174802104+5.498918548i$$

Solve for x, y

$$x=0\text{, }y=0$$

$$x=-4\sqrt[3]{2}\approx -5.0396842\text{, }y=-4\times 2^{\frac{2}{3}}\approx -6.349604208$$