m^2-4mn+4n^2=0求(m+n)^2/mn
问题描述:
m^2-4mn+4n^2=0求(m+n)^2/mn
答
m^2-4mn+n^2=0
即
m^2+n^2=4mn
则
(m+n)^2/mn
=(m^2+n^2+2mn)/mn
=(4mn+2mn)/mn
=6mn/mn
=6