Решите уравнение: x^3-5x^2-x+5=0.

\[x³ - 5x^{2} - x + 5 = 0\]

\[x^{2}(x - 5) - (x - 5) = 0\]

\[(x - 5)(x² - 1) = 0\]

\[(x - 5)(x - 1)(x + 1) = 0\]

\[x = 5,\ \ x = 1,\ \ x = - 1\]

\[Ответ:x = 5;\ x = \pm 1.\]