分式1/(x²-1)+2/(x+1)在x= 时,值为零.

问题描述:

分式1/(x²-1)+2/(x+1)在x= 时,值为零.

1/(x²-1)+2/(x+1)
=1/(x²-1)+2(x-1)/(x²-1)
=2x/(x²-1)
当(2x-1)/(x²-1)=0时,
即2x-1=0,
就是x=1/2时,方程1/(x²-1)+2/(x+1)=0.