Solve for Y (complex solution)
Y=3x+\sqrt{x}
Solve for x (complex solution)
\left\{\begin{matrix}x=0\text{, }&Y=0\\x=\frac{\left(-\sqrt{12Y+1}+1\right)^{2}}{36}\text{, }&arg(\frac{-\sqrt{12Y+1}+1}{6})\geq \pi \\x=\frac{\left(\sqrt{12Y+1}+1\right)^{2}}{36}\text{, }&arg(\frac{\sqrt{12Y+1}+1}{6})\geq \pi \end{matrix}\right.
Solve for Y
Y=3x+\sqrt{x}
x\geq 0
Solve for x
x=\frac{\left(-\sqrt{12Y+1}+1\right)^{2}}{36}
Y\geq -\frac{1}{12}\text{ and }-\frac{-\sqrt{12Y+1}+1}{6}\geq 0
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