若x/3y=y/(2x-5)=(6x-15y)/x,则(4x^2-5xy+6y^2)/(x^2-2xy+3y^2)的值为?
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若x/3y=y/(2x-5)=(6x-15y)/x,则(4x^2-5xy+6y^2)/(x^2-2xy+3y^2)的值为?若x/3y=y/(2x-5)=(6x-15y)/x,则(4x^2-5xy+6y
若x/3y=y/(2x-5)=(6x-15y)/x,则(4x^2-5xy+6y^2)/(x^2-2xy+3y^2)的值为?
若x/3y=y/(2x-5)=(6x-15y)/x,则(4x^2-5xy+6y^2)/(x^2-2xy+3y^2)的值为?
若x/3y=y/(2x-5)=(6x-15y)/x,则(4x^2-5xy+6y^2)/(x^2-2xy+3y^2)的值为?
这种题就是因式分
x/3y=y/(2x-5y)
2x^2-5xy-3y^2=0
(x-3y)(2x+y)=0①
x/3y=(6x-15y)/x
x^2-18xy+45y^2=0
(x-3y)(x-15y)=0②
y/(2x-5y)=(6x-15y)/x
xy=3(2x-5y)^2
(x-3y)(12x-25)=0③
若①②③同时成立,
x-3y=0,x=3y代入所求的式子
(4x^2-5xy+6y^2)/(x^2-2xy+3y^2)
=[4(3y)^2-5*(3y)*y+6y^2]/[(3y)^2-2*(3y)*y+3y^2]
=9/2
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