己知x=x分之1求x-3分之x方-6x+9除以x方+6x+9分之x+3的值

X=1/X,所以X=1或X=-1
所以分别把两个值带进去就可以了!

x=1/x
x²=1
(x²-6x+9)/(x-3) ÷ (x+3)/(x²+6x+9)
=(x-3)²/(x-3) × (x+3)²/(x+3)
=(x-3)(x+3)
=x²-9
=1-9
=-8