\begin{array}{l}
{\text{Consider\ the\ equation~}{x^{0} + 0 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{1} + 1 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{2} + 2 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{3} + 3 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{4} + 4 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{5} + 5 = \beta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{6} + 6 = \gamma}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{7} + 7 = \delta}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{8} + 8 = \alpha}\text{.}} \\
{\text{Consider\ the\ equation~}{x^{9} + 9 = \beta}\text{.}} \\
\end{array}
