\section*{Problem 20}

\(\mathrm{x}\) is a real number. Define \(\mathrm{x}_{0}=1+\sqrt{ }(1+\mathrm{x}), \mathrm{x}_{1}=2+\mathrm{x} / \mathrm{x}_{0}, \mathrm{x}_{2}=2+\mathrm{x} / \mathrm{x}_{1}, \ldots, \mathrm{x}_{1985}=2+\) \(\mathrm{x} / \mathrm{x}_{1984}\). Find all solutions to \(\mathrm{x}_{1985}=\mathrm{x}\).

\section*{Answer}