由x^2+3xy-4y^2=0可得 (x+4y)(x-y)=0,由于在 “x-y分之x+y”中x-y为分母,故不能为0,知x=y 不成立;所以 x+4y=0,得 x=-4y;于是 (x-y)分之(x+y)既(x+y)/(x-y)=(-4y+y)/(-4y-y)=-3y/(-5y)=3/5.