Ответ:
Пошаговое объяснение:
1) 3x³ - 12x = 0; x³ - 4x = 0; x (x² - 4) = 0; x (x - 2)(x + 2)=0; x=0; x - 2 = 0; x = 2; x + 2 = 0; x = - 2; Ответ: x = 0; - 2; 2 2) 49x³ + 14x² + x = 0; x(49x² + 14x + 1) = 0; x =0; 49x² + 14x + 1 = 0; (7x + 1)² = 0; 7x = - 1; x = - 1/7 Ответ: x = 0; - 1/7 3) x³ - 5x² - x + 5 = 0; x²( x - 5) - (x - 5) = 0; (x - 5)(x² - 1) = 0; (x - 5)(x - 1)(x + 1) = 0; x - 5 =0; x = 5; x - 1 = 0; x = 1; x + 1 = 0; x = - 1; Ответ: x = 5; - 1; 1
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Ответ:
Пошаговое объяснение:
1) 3x³ - 12x = 0; x³ - 4x = 0; x (x² - 4) = 0; x (x - 2)(x + 2)=0; x=0; x - 2 = 0; x = 2; x + 2 = 0; x = - 2; Ответ: x = 0; - 2; 2 2) 49x³ + 14x² + x = 0; x(49x² + 14x + 1) = 0; x =0; 49x² + 14x + 1 = 0; (7x + 1)² = 0; 7x = - 1; x = - 1/7 Ответ: x = 0; - 1/7 3) x³ - 5x² - x + 5 = 0; x²( x - 5) - (x - 5) = 0; (x - 5)(x² - 1) = 0; (x - 5)(x - 1)(x + 1) = 0; x - 5 =0; x = 5; x - 1 = 0; x = 1; x + 1 = 0; x = - 1; Ответ: x = 5; - 1; 1