[tex]x^3 - 4x^2 +5x-2=0\\\\x^3 - 2x^2-2x^2+4x+x-2=0\\\\x^2(x-2)-2x(x-2)+(x-2)=0\\\\(x-2)(x^2-2x+1)=0\\\\(x-2)(x-1)^2=0\\\\x-2=0\ \ \ lub\ \ \ x-1=0\\\\x=2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=1[/tex]