(2x+2)/(x-2)-(3-m)/x=3[(2x+2)x-(2x+2)(3-m)]/(x-2)x=32x²+2x-6x+2mx-6+2m=3x²-6xx²-(2+2m)x+6=0x=[(2+2m)±√(2+2m)²-24]/2=1+m±√m²+2m-5有增根,x=2 ,或x=01+m±√m²+2m-5=2m-1=±√m²+2m-5m²-2m+1=m²+2m-5m=3/21+m±√m²+2m-5=0m²+2m+1=m²+2m-5无解∴m=3/2