\[x³ - 5x^{2} - x + 5 = 0\]
\[x^{2}(x - 5) - (x - 5) = 0\]
\[(x - 5)(x² - 1) = 0\]
\[(x - 5)(x - 1)(x + 1) = 0\]
\[x = 5,\ \ x = 1,\ \ x = - 1\]
\[Ответ:x = 5;\ x = \pm 1.\]