当x=_____时,分式（x^2-X+1)/(X-2)-(X^2-2X+5)/(X-1)的值为2
问题描述：
当x=_____时,分式（x^2-X+1)/(X-2)-(X^2-2X+5)/(X-1)的值为2
答
(X^2-X+1)/(X-2)-(X^2-2X+5)/(X-1)=2
[(X^2-X+1)(X-1)-(X-2)(X^2-2X+5)]/(X-2)(X-1)=2
X^3-2X^2+2X-1-X^3+4X^2-9X+10=2(X^2-3X+2)
2X^2-7X+9=2X^2-6X+4
X=5