Løs for x (complex solution)
x=\frac{2^{\frac{2}{3}}\left(1+\sqrt{3}i\right)\left(\sqrt{y^{2}+32}+y\right)^{-\frac{1}{3}}\left(\left(1+\sqrt{3}i\right)\left(\sqrt{y^{2}+32}+y\right)^{\frac{2}{3}}+4\times 2^{\frac{2}{3}}\right)}{8}
x=\frac{2^{\frac{2}{3}}\left(\sqrt{y^{2}+32}+y\right)^{-\frac{1}{3}}\left(\left(\sqrt{y^{2}+32}+y\right)^{\frac{2}{3}}-2\times 2^{\frac{2}{3}}\right)}{2}
x=-\frac{2^{\frac{2}{3}}\left(-\sqrt{3}i+1\right)\left(\sqrt{y^{2}+32}+y\right)^{-\frac{1}{3}}\left(\left(-1+\sqrt{3}i\right)\left(\sqrt{y^{2}+32}+y\right)^{\frac{2}{3}}-4\times 2^{\frac{2}{3}}\right)}{8}
Løs for x
x=\frac{2^{\frac{2}{3}}\left(\sqrt[3]{\sqrt{y^{2}+32}+y}+\sqrt[3]{-\sqrt{y^{2}+32}+y}\right)}{2}
Løs for y
y=x\left(x^{2}+6\right)
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