(x-2)/(x-3)=m/(x-3)(x-2)(x-3)=m(x-3)x^2-5x+6-mx+3m=0x^2-(5+m)x+6+3m=0△=(5+m)^2-4(6+3m)=(m-1)^2≥0当m=1时,方程有一个解x=3当m≠1时,方程有两个解.x1+x2=5+m>0x1*x2=6+3m>0m>-2