X (x^2+16x+64) = 9 (x+8) решите уравнение

Х^3+16 х+64 х-9 х-72=0

х^3+16 х^2+55 х-72=0

(х^2+17 х+72) (х-1) = 0

(х+8) (х-9) (х-1) = 0

х=-8; х=-9.1

X (x^2 + 16x + 64) = 9 (x + 8)

X (x + 8) ^2 - 9 (x + 8) = 0

(x + 8) (x (x + 8) - 9) = 0

(x + 8) (x^2 + 8x - 9) = 0

X + 8 = 0

X = - 8

X^2 + 8x - 9 = 0

D = 64 + 36 = 100 = 10^2

Х1 = (- 8 + 10) : 2 = 1

Х2 = (- 8 - 10) : 2 = - 9

Ответ (- 8) ; (- 9) ; 1