4. Решите уравнение: 1) 6x³ - 24x = 0; 2) 25x³ - 10x² + x = 0; 3) x³ - 4x² - 9x + 36 = 0.

Решение: 1) 6x³ - 24x = 0 6x(x² - 4) = 0 6x(x - 2)(x + 2) = 0 x = 0, x = 2, x = -2 2) 25x³ - 10x² + x = 0 x(25x² - 10x + 1) = 0 x(5x - 1)² = 0 x = 0, x = 1/5 3) x³ - 4x² - 9x + 36 = 0 x²(x - 4) - 9(x - 4) = 0 (x - 4)(x² - 9) = 0 (x - 4)(x - 3)(x + 3) = 0 x = 4, x = 3, x = -3 Ответ: 1) x = 0, x = 2, x = -2 2) x = 0, x = 1/5 3) x = 4, x = 3, x = -3