Los S=(sqrt{x-sqrt{x^2-t}})-002 op

$$S = ( \sqrt { x - \sqrt { x ^ { 2 } - t } } ) - 002$$

Oplossen voor S (complex solution)

$$S=\sqrt{-\sqrt{x^{2}-t}+x}$$

Oplossen voor t (complex solution)

$$t=S^{2}\left(2x-S^{2}\right)$$

$$\left(arg(x)<\pi \text{ and }S=0\right)\text{ or }\left(arg(x-S^{2})<\pi \text{ and }arg(S)<\pi \text{ and }S\neq 0\right)\text{ or }\left(x=0\text{ and }S=0\right)\text{ or }\left(x=S^{2}\text{ and }arg(S)<\pi \text{ and }S\neq 0\right)$$

Oplossen voor S

$$S=\sqrt{-\sqrt{x^{2}-t}+x}$$

$$\left(x=0\text{ and }t=0\right)\text{ or }\left(x>0\text{ and }t\geq 0\text{ and }x\geq \sqrt{t}\text{ and }t\leq x^{2}\right)$$

Oplossen voor t

$$\left\{\begin{matrix}t=0\text{, }&S=0\text{ and }x\geq 0\\t=0\text{, }&S=0\text{ and }x>0\\t=S^{2}\left(2x-S^{2}\right)\text{, }&S\leq \sqrt{2x}\text{ and }\left(S=0\text{ or }x-S^{2}\geq 0\right)\text{ and }S\geq 0\text{ and }x>0\end{matrix}\right,$$