如果x+1⼀x=5,则x눀⼀(x四次方+x눀+1)的结果是

2025-05-17 14:48:21
推荐回答(1个)
回答1:

解:
x+1/x=5
两边平方得
x²+2+1/x²=25
x²+1/x²=23

x²/(x^4+x^2+1)
=1/(x²+1+1/x²)
=1/[(x²+1/x²)+1]
=1/(23+1)
=1/24