(1)证明:∵Δ=(2m+1)²-4*m*2=4m²+4m+1-8m=4m²-4m+1=(2m-1)²≥0∴方程总有两个实数根(2)mx²-(2m+1)x+2=0(mx-1)(x-2)=0mx-1=0或x-2=0x1=1/m x2=2两个实数根都是整数,则1/m为整数所以m=1或-1