x+1⼀x=3,求x2⼀x4+x2+1

过程
2024-12-25 20:55:29
推荐回答(1个)
回答1:

x^2/x^4+x^2+1
=1/x^2+x^2+1

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

则x^2+1/x^2+1=8
即x^2/x^4+x^2+1=8