x+1⼀x=2倍根号5那么x-1⼀x等于多少

2025-06-26 18:39:36
推荐回答(2个)
回答1:

x+1/x=2倍根号5
两边平方得:
x²+2+1/x²=20
x²+1/x²=20-2=18
x-1/x=±根号(x-1/x)²
=±根号(18-2)
=±4

回答2:

x+1/x=2根号5
(x+1/x)^2=x^2+2+1/x^2=20 x^2+1/x^2=18
(x-1/x)^2=x^2-2+1/x^2=18-2=16
x-1/x=±4