X^3-6x^2=6-x решите уравнение

Question

X^3-6x^2=6-x решите уравнение

Answer 1

X^3 - 6x^2 + x - 6 = 0 
x^2 *(x - 6) + 1( x - 6) = 0
( x^2 + 1)  *( x - 6 ) = 0

x^2 + 1 = 0 ==>  x ∈ ∅ 
x - 6 = 0 ==> x = 6

Ответ:
x = 6