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

m^2-4mn+n^2=0

m^2+n^2=4mn

(m+n)^2/mn
=(m^2+n^2+2mn)/mn
=(4mn+2mn)/mn
=6mn/mn
=6