若x\3y=y\(2x-5y)=(6x-15y)\x,求(4x²-5xy+6y)\(x²-2xy+3
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若x\3y=y\(2x-5y)=(6x-15y)\x,求(4x²-5xy+6y)\(x²-2xy+3y²)
括号的意思就是整体作分子或分母
括号的意思就是整体作分子或分母
![若x\3y=y\(2x-5y)=(6x-15y)\x,求(4x²-5xy+6y)\(x²-2xy+3](/uploads/image/z/17602095-39-5.jpg?t=%E8%8B%A5x%5C3y%3Dy%5C%282x-5y%29%3D%286x-15y%29%5Cx%2C%E6%B1%82%284x%26sup2%3B-5xy%2B6y%29%5C%EF%BC%88x%26sup2%3B-2xy%2B3)
x/(3y)=y/(2x-5y)=(6x-15y)/x
x/(3y)=y/(2x-5y)--->2x^2-5xy-3y^2=0--->x=-y/2 or 3y--->x/y=-1/2;or 3
x/(3y)=(6x-15y)/x--->x^2-18xy+45y^2=0--->x=3y or 15y--->x/y=3 or 15
y/(2x-5y)=(6x-15y)/x--->12x^2-61xy+75y^2=0
--->x=3y;or 25y/12.
因为三个等式同时成立,有且只有x/y=3才成立--->x=3y.代入所求的分式:
(4x^2-5xy+6y^2)/(x^2-2xy+3y^2)
=(36y^2-15y^2+6y^2)/(9y^2-6y^2+3y^2)
=27/6
=9/2.
x/(3y)=y/(2x-5y)--->2x^2-5xy-3y^2=0--->x=-y/2 or 3y--->x/y=-1/2;or 3
x/(3y)=(6x-15y)/x--->x^2-18xy+45y^2=0--->x=3y or 15y--->x/y=3 or 15
y/(2x-5y)=(6x-15y)/x--->12x^2-61xy+75y^2=0
--->x=3y;or 25y/12.
因为三个等式同时成立,有且只有x/y=3才成立--->x=3y.代入所求的分式:
(4x^2-5xy+6y^2)/(x^2-2xy+3y^2)
=(36y^2-15y^2+6y^2)/(9y^2-6y^2+3y^2)
=27/6
=9/2.
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