若x=1/x,则(x²2-6x+9)/(x-3)÷(x+3)/(x²+6x+9)的值是

问题描述:

若x=1/x,则(x²2-6x+9)/(x-3)÷(x+3)/(x²+6x+9)的值是

x=1/x
x²=1
x=1或x=-1
(x²2-6x+9)/(x-3)÷(x+3)/(x²+6x+9)
=(x-3)²/(x-3)÷(x+3)/(x+3)²
=(x+3)/(x-3)
x=1时 原式=(1+3)/(1-3)=-2
x=-1时 原式=(-1+3)/(-1-3)=-1/2
如果本题有什么不明白可以追问,