已知x^2+xy-6y^2=0,且y不等于0 .求:(1)x\y的值(2)x+3y\x-3y的值
问题描述:
已知x^2+xy-6y^2=0,且y不等于0 .求:(1)x\y的值(2)x+3y\x-3y的值
答
x^2+xy-6y^2=0x^2-4y^2+xy-2y^2=0(x+2y)(x-2y)+y(x-2y)=0(x-2y)(x+2y+y)=0(x-2y)(x+3y)=0x-2y=0x+3y=0x/y=2x/y=-3x\y的值为2或-3当x=2y时(x+3y)/(x-3y)=(2y+3y)/(2y-3y)=5y/(-y)=-5当x=-3y时(x+3y)/(x-3y)=(-3y+3y)/...