Решите неравенство: (x-5)(x^2-4x+9)>(x-5)(x^2+x-6).

\[(x - 5)( - 5x + 15) > 0\]

\[- 5 \cdot (x - 5)(x - 3) > 0\]

\[(x - 5)(x - 3) < 0\]

\[Ответ:(3;5).\]