Решите уравнение x^4+x^3-2x^2-5x-2=0.

\[x^{4} + x^{3} - 2x^{2} - 5x - 2 = 0\]

\[x = - 1:\]

\[разделим\ на\ (x + 1)\ и\ получим\]

\[x^{3} - 3x - 2 = 0.\]

\[x = 2:\]

\[разделим\ на\ (x - 2)\ и\ получим\]

\[x^{2} + 2x + 1 = 0\]

\[(x + 1)^{2} = 0\]

\[x + 1 = 0\]

\[x = - 1.\]

\[Ответ:x = - 1;x = 2.\]