X (x²+2x+1) = 2 (x+1) С задание 9 класс

x (x²+2x+1) = 2 (x+1)

x^3+2x^2+x-2x-2=0

x (x^2-1) + 2 (x^2-1) = 0

(x^2-1) (x+2) = 0

(x+1) (x-1) (x+2) = 0

x1 = - 1

x2 = 1

x3 = - 2

X (x² + 2x + 1) = 2 (x + 1)

х (х+1) ² - 2 (х + 1) = 0

(х + 1) (х (х+1) - 2)) = 0

х + 1 = 0 или х² + х - 2 = 0

х1 = - 1 Д = 1 + 8 = 9

х2 = - 1+3 / 2 = 1

х3 = - 1 - 3 / 2 = - 2

ответ: - 2; - 1; 1