Answer:
x=+-i or x=1
Step-by-step explanation:
x^3-x^2+x-1=0
x^2(x-1)+1(x-1)=0
(x^2+1) (x-1) =0
(x^2+1)=0 or (x-1)=0
x=i or -i (imaginary number) or x=1