\[(x - 4)^{2} - 25 = 0\]
\[(x - 4 - 5)(x - 4 + 5) = 0\]
\[(x - 9)(x + 1) = 0\]
\[x = 9;\ \ \ \ \ \ x = 1\]
\[Ответ:\ - 1;\ \ 9.\]