若m^2+3mn+2n=0,则n/m+m/n的值为
问题描述:
若m^2+3mn+2n=0,则n/m+m/n的值为
答
m^2+3mn+2n=0 (m/n)^2+3m/n+2=0 (m/n+1)(m/n+2)=0 m/n=-1,或,m/n=-2 m/n=-1时,n/m+m/n=-1-1=-2 m/n=-2时,n/m+m/n=-1/2-2=-5/2