已知xy不等于0,3x^2-2xy-8y^2=0,x/y的值

已知xy不等于0,3x^2-2xy-8y^2=0,x/y的值
已知xy不等于0,3x^2-2xy-8y^2=0,x/y的值

已知xy不等于0,3x^2-2xy-8y^2=0,x/y的值
xy不等于0
所以x≠0,y≠0
3x^2-2xy-8y^2=0
两边除以y^2
=>
3(x/y)^2-2(x/y)-8=0
=>
[(x/y)-2][3(x/y)+4]=0
=>
x/y=2,或x/y=-4/3