Selesaikan y=(x-xs)^2+ys

$$y = ( x - x s ) ^ { 2 } + y s$$

Cari nilai s (complex solution)

$$\left\{\begin{matrix}\\s=1\text{, }&\text{unconditionally}\\s=1-\frac{y}{x^{2}}\text{, }&x\neq 0\\s\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right,$$

Cari nilai x (complex solution)

$$\left\{\begin{matrix}x\in \mathrm{C}\text{, }&s=1\\x=-\frac{\sqrt{y\left(1-s\right)}}{1-s}\text{; }x=\frac{\sqrt{y\left(1-s\right)}}{1-s}\text{, }&s\neq 1\end{matrix}\right,$$

Cari nilai s

$$\left\{\begin{matrix}s=1\text{, }&y\neq 0\text{ or }x\neq 0\\s=1-\frac{y}{x^{2}}\text{, }&x\neq 0\\s\in \mathrm{R}\text{, }&x=0\text{ and }y=0\end{matrix}\right,$$

Cari nilai x

$$\left\{\begin{matrix}x\in \mathrm{R}\text{, }&s=1\\x=-\frac{\sqrt{y\left(1-s\right)}}{1-s}\text{; }x=\frac{\sqrt{y\left(1-s\right)}}{1-s}\text{, }&s>1\text{ and }y\leq 0\\x=-\sqrt{\frac{y}{1-s}}\text{; }x=\sqrt{\frac{y}{1-s}}\text{, }&y\geq 0\text{ and }s<1\end{matrix}\right,$$