Solve for y (complex solution)
y=-i\left(x^{2}-2x-4\right)^{-\frac{1}{2}}\sqrt{x}
y=i\left(x^{2}-2x-4\right)^{-\frac{1}{2}}\sqrt{x}\text{, }x\neq 0\text{ and }x\neq \sqrt{5}+1\text{ and }x\neq 1-\sqrt{5}
Solve for x
x=\frac{\sqrt{20y^{4}-4y^{2}+1}}{2y^{2}}+1-\frac{1}{2y^{2}}
x=-\frac{\sqrt{20y^{4}-4y^{2}+1}}{2y^{2}}+1-\frac{1}{2y^{2}}\text{, }y\neq 0
Solve for y
y=\sqrt{-\frac{x}{x^{2}-2x-4}}
y=-\sqrt{-\frac{x}{x^{2}-2x-4}}\text{, }x<1-\sqrt{5}\text{ or }\left(x>0\text{ and }x<\sqrt{5}+1\right)
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