$\left\{\begin{matrix}a=-ix^{-\frac{1}{2}}\sqrt{yb^{2}-c^{2}}\text{; }a=ix^{-\frac{1}{2}}\sqrt{yb^{2}-c^{2}}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&\left(b=y^{-\frac{1}{2}}c\text{ and }y\neq 0\text{ and }x=0\right)\text{ or }\left(b=-y^{-\frac{1}{2}}c\text{ and }y\neq 0\text{ and }x=0\right)\text{ or }\left(c=0\text{ and }y=0\text{ and }x=0\right)\end{matrix}\right.$

$\left\{\begin{matrix}b=-iy^{-\frac{1}{2}}\sqrt{xa^{2}-c^{2}}\text{; }b=iy^{-\frac{1}{2}}\sqrt{xa^{2}-c^{2}}\text{, }&y\neq 0\\b\in \mathrm{C}\text{, }&\left(a=x^{-\frac{1}{2}}c\text{ and }x\neq 0\text{ and }y=0\right)\text{ or }\left(a=-x^{-\frac{1}{2}}c\text{ and }x\neq 0\text{ and }y=0\right)\text{ or }\left(x=0\text{ and }c=0\text{ and }y=0\right)\end{matrix}\right.$