设x-(1/x)=根号5,则x+(1/x)=( )
问题描述:
设x-(1/x)=根号5,则x+(1/x)=( )
答
[x-(1/x)]² = [x+(1/x)]² - 4* x* (1/x)
化简:5 = [x+(1/x)]² - 4
[x+(1/x)]² = 1
所以 x+(1/x) = 3 或 -3