2x^2+9xy-5y^2=0,则y/x=?

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2x^2+9xy-5y^2=0,则y/x=?2x^2+9xy-5y^2=0,则y/x=?2x^2+9xy-5y^2=0,则y/x=?2x^2+9xy-5y^2=02+9y/x-5(y/x)^2=0(2

2x^2+9xy-5y^2=0,则y/x=?
2x^2+9xy-5y^2=0,则y/x=?

2x^2+9xy-5y^2=0,则y/x=?
2x^2+9xy-5y^2=0
2+9y/x-5(y/x)^2=0
(2-y/x)(1+5y/x)=0
y/x=2
或：y/x=-1/5

2x^2+9xy-5y^2=0
(2x-y)(x+5y)=0
2x=y或x=-5y
y/x=2或y/x=-1/5

2x^2+9xy-5y^2=(2x-y)(x+5y)=0
2x=y
x=-5y
y/x=2,-1/5

原式等号两边同除以y²,得：2（x/y)²+9x/y-5=0
解得：x/y=-1/2或5

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