Х3-6х2=6-х решите уравнение

[latex]x^3-6x^2=6-x \\ x^3-6x^2-6+x=0 \\ x(x^2+1)-6(x^2+1) = 0 \\ (x-6)(x^2+1)=0 \\ x-6=0\\ (x^2+1) \neq 0 \\ x=6[/latex]