若x分之1+x=3,则分式x^4+x^2+1分之x^2的值是?

2024-11-30 05:16:33
推荐回答(1个)
回答1:

x分之1+x=3
(x+1/x)^2=3^2
x^2+1/x^2+2=9
x^2+1/x^2=7
x^2/(x^4+x^2+1)=1/(x^2+1/x^2+1)=1/(7+1)=1/8