Question

решите уравнение x^3-4x^2-9x+36=0

Answer 1

x³ - 4x² - 9x + 36 = 0
(x³ - 9x) - (4x² - 36) = 0
x(x² - 9) - 4(x² - 9) = 0
(x² - 9)(x - 4) = 0
(x - 3)(x + 3)(x - 4) = 0
или x - 3 = 0    или x + 3 = 0    или  x - 4 = 0
       x₁ = 3               x₂ = - 3               x₃ = 4
Ответ : - 3 , 3 ; 4