已知x加x分之一等于三,求x减x分之一的值

2025-12-14 21:44:08
推荐回答(2个)
回答1:

x+1/x=3
(x+1/x)^2=9
x^2+2+1/(x^2)=9
x^2+1/(x^2)=7
(x-1/x)^2=x^2-2+1/(x^2)=7-2=5
x-1/x=±√5

回答2:

﹙x-1/x﹚²=﹙x+1/x﹚²-4=3²-4=5
x-1/x=±√5