2X^3-6X^2+5X-2=0
2(x^3-4x^2+4x)+2x^2-3x+2=0
2x(x-2)^2+(x-2)(2x+1)=0
(x-2)(2x^2-4x+2x+1)=0
(x-2)(2x^2-2x+1)=0
2x^2-2x+1大于0
所以x=2