已知xy不等于0,3x^2-2xy-8y^2=0,x/y的值
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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](/uploads/image/z/5893588-28-8.jpg?t=%E5%B7%B2%E7%9F%A5xy%E4%B8%8D%E7%AD%89%E4%BA%8E0%2C3x%5E2-2xy-8y%5E2%3D0%2Cx%2Fy%E7%9A%84%E5%80%BC)
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
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
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