Ebatzi: t (complex solution)
\left\{\begin{matrix}t=0\text{, }&x=450\\t=\frac{\left(-\sqrt{x-50}+20\right)^{2}}{80}\text{, }&arg(-\frac{\sqrt{5x-250}}{20}+\sqrt{5})<\pi \\t=\frac{\left(\sqrt{x-50}+20\right)^{2}}{80}\text{, }&arg(\frac{\sqrt{5x-250}}{20}+\sqrt{5})<\pi \end{matrix}\right.
Ebatzi: x (complex solution)
x=80t-160\sqrt{5t}+450
Ebatzi: t
\left\{\begin{matrix}t=\frac{\left(-\sqrt{x-50}+20\right)^{2}}{80}\text{, }&x\geq 50\text{ and }-\frac{\sqrt{5x-250}}{20}+\sqrt{5}\geq 0\\t=\frac{\left(\sqrt{x-50}+20\right)^{2}}{80}\text{, }&x\geq 50\end{matrix}\right.
Ebatzi: x
x=80t-160\sqrt{5t}+450
t\geq 0
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