Solve for y, x (complex solution)
x=-\sqrt{6}i-2\approx -2-2.449489743i\text{, }y=\sqrt[4]{177}e^{\frac{\arctan(\frac{4\sqrt{6}}{9})i}{2}}\approx 3.339471118+1.46699262i
x=-\sqrt{6}i-2\approx -2-2.449489743i\text{, }y=\sqrt[4]{177}e^{\frac{\arctan(\frac{4\sqrt{6}}{9})i+2\pi i}{2}}\approx -3.339471118-1.46699262i
x=-2+\sqrt{6}i\approx -2+2.449489743i\text{, }y=\sqrt[4]{177}e^{\frac{-\arctan(\frac{4\sqrt{6}}{9})i+2\pi i}{2}}\approx -3.339471118+1.46699262i
x=-2+\sqrt{6}i\approx -2+2.449489743i\text{, }y=\sqrt[4]{177}e^{-\frac{\arctan(\frac{4\sqrt{6}}{9})i}{2}}\approx 3.339471118-1.46699262i
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