若36x^2-12xy+y^2=0,则x/y+y/x的值是

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若36x^2-12xy+y^2=0,则x/y+y/x的值是若36x^2-12xy+y^2=0,则x/y+y/x的值是若36x^2-12xy+y^2=0,则x/y+y/x的值是36x^2-12xy+y^

若36x^2-12xy+y^2=0,则x/y+y/x的值是
若36x^2-12xy+y^2=0,则x/y+y/x的值是

若36x^2-12xy+y^2=0,则x/y+y/x的值是
36x^2-12xy+y^2=0
(6x-y)^2=0
6x-y=0
y=6x
所以原式=x/6x+6x/x
=1/6+6
=37/6

6x=y,所以答案是6+六分之1

原式→(6x)^2-12xy+y^2=0
→(6x-y)^2=0
→6x=y
→x/y=1/6
→y/x=6
→x/y+y/x=37/6

36x^2-12xy+y^2=0
可以转化为(6x-y)^2=0 则6x=y
则x/y+y/x=x/6x+6x/x=6/1+6