解方程：x³-x²-x+1=0

解方程：x³-x²-x+1=0
解方程：x³-x²-x+1=0

解方程：x³-x²-x+1=0
x^3-x-(x^2-1)=0
x(x^2-1)-(x^2-1)=0
(x-1)(x^2-1)=0
x-1=0或x^2-1=0
x=土1
不懂,请追问,祝愉快O(∩_∩)O~

x³-x²-x+1=0
x^2(x-1)-(x-1)=0
(x-1)(x^2-1)=0
(x-1)^2(x+1)=0
所以解得：x=-1或1

x³-x²-x+1=0
x²(x-1)-(x-1)=0
(x-1)(x²-1)=0
(x-1)(x+1)(x-1)=0
x1=1，x2= -1，x3=1