$\left\{\begin{matrix}K=-\frac{x^{2}+x-1}{K_{1}}\text{, }&K_{1}\neq 0\\K\in \mathrm{C}\text{, }&\left(x=\frac{-\sqrt{5}-1}{2}\text{ or }x=\frac{\sqrt{5}-1}{2}\right)\text{ and }K_{1}=0\end{matrix}\right.$

$\left\{\begin{matrix}K_{1}=-\frac{x^{2}+x-1}{K}\text{, }&K\neq 0\\K_{1}\in \mathrm{C}\text{, }&\left(x=\frac{-\sqrt{5}-1}{2}\text{ or }x=\frac{\sqrt{5}-1}{2}\right)\text{ and }K=0\end{matrix}\right.$

$\left\{\begin{matrix}K=-\frac{x^{2}+x-1}{K_{1}}\text{, }&K_{1}\neq 0\\K\in \mathrm{R}\text{, }&\left(x=\frac{-\sqrt{5}-1}{2}\text{ or }x=\frac{\sqrt{5}-1}{2}\right)\text{ and }K_{1}=0\end{matrix}\right.$

$\left\{\begin{matrix}K_{1}=-\frac{x^{2}+x-1}{K}\text{, }&K\neq 0\\K_{1}\in \mathrm{R}\text{, }&\left(x=\frac{-\sqrt{5}-1}{2}\text{ or }x=\frac{\sqrt{5}-1}{2}\right)\text{ and }K=0\end{matrix}\right.$