数学一道分式内容

问题描述:

数学一道分式内容
x=1/x,则分式x²-x-6/x-3÷x+3/x²+x-6的值是?

x=1/x
x²=1
原式=[(x-3)(x+2)/(x-3)]÷[(x+3)/(x+3)(x-2)]
=(x+2)÷[1/(x-2)]
=(x+2)(x-2)
=x²-4
=1-4
=-3