若分式方程2/x-(x-m)/(x^-x)=1+1/(x-1)无实数根,求m的值

问题描述:

若分式方程2/x-(x-m)/(x^-x)=1+1/(x-1)无实数根,求m的值

将上述方程化简得:x^2-x+2-m=0,因为此方程无实数解,所以:△=1-8-4m

2/x-(x-m)/(x^-x)=1+1/(x-1)
2(x-1)-(x-m)=(x^2-x)+x
2x-2-x+m=x^2
x^2-x+2-m=0
因为此方程无实数解,所以:
△=(-1)^2-4(2-m)=1-8+4m=4m-7m