已知x+1/x=2根号3求x-1/x的值
问题描述:
已知x+1/x=2根号3求x-1/x的值
答
∵x+1/x=2
∴(x+1/x)^2=4
x^2+1/x^2+2=4
x^2+1/x^2=2
x^2-2+1/x^2=0
(x-1/x)^2=0
∴x-1/x=0