∵△=b²-4ac
=(2m+1)²-4(m²+m)
=(4m²+4m+1)-(4m²+4m)
=1
∴方程有两个不等实数根
∴x₁,₂=[(2m+1)±√1]/2
=(2m+1±1)/2
解得x₁=m+1,x₂=m