\[\boxed{\text{445\ (445).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\left\{ \begin{matrix} x - y = 4\ \ \ \ \ \ \ \ \ \ \ \ \\ y = x^{2} - 5x + 5 \\ \end{matrix} \right.\ \Longrightarrow\]
\[\Longrightarrow \left\{ \begin{matrix} x - \left( x^{2} - 5x + 5 \right) = 4 \\ y = x^{2} - 5x + 5\ \ \ \ \ \ \ \ \ \ \ \ \ \\ \end{matrix} \right.\ \Longrightarrow\]
\[\Longrightarrow \left\{ \begin{matrix} - x^{2} + 6x - 9 = 0 \\ y = x^{2} - 5x + 5\ \ \ \\ \end{matrix} \right.\ \]
\[x^{2} - 6x + 9 = 0\]
\[(x - 3)^{2} = 0\ \ \]
\[x = 3\]
\[\Longrightarrow \left\{ \begin{matrix} x = 3\ \ \ \ \\ y = - 1. \\ \end{matrix} \right.\ \]
\[Ответ:общая\ точка\ (3;\ - 1).\]