Solve for x (complex solution)
x=\sqrt{4y^{4}+6y+3}+2y^{2}
x=-\sqrt{4y^{4}+6y+3}+2y^{2}
Solve for y (complex solution)
\left\{\begin{matrix}y=-\frac{\sqrt{4x^{3}-12x+9}+3}{4x}\text{; }y=-\frac{-\sqrt{4x^{3}-12x+9}+3}{4x}\text{, }&x\neq 0\\y=-\frac{1}{2}\text{, }&x=0\end{matrix}\right.
Solve for x
x=\sqrt{4y^{4}+6y+3}+2y^{2}
x=-\sqrt{4y^{4}+6y+3}+2y^{2}\text{, }4y^{4}+6y+3\geq 0
Solve for y
\left\{\begin{matrix}y=-\frac{\sqrt{4x^{3}-12x+9}+3}{4x}\text{; }y=-\frac{-\sqrt{4x^{3}-12x+9}+3}{4x}\text{, }&x\neq 0\text{ and }4x^{3}-12x+9\geq 0\\y=-\frac{1}{2}\text{, }&x=0\end{matrix}\right.
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