若x²-3x+1=0,求分式的值

若x²-3x+1=0,求分式的值
若x²-3x+1=0,求分式的值
 

若x²-3x+1=0,求分式的值
x^2-3x+1=0 两边除以x
x-3+1/x=0
x+1/x=3
x^2/x^4+x^2+1
=1/(x²+1+1/x²)
=1/[(x+1/x)²-1]
=1/(9-1)
=1/8