选择:已知(x-2y)^2=y(2y-x),则x^2-y^2/xy的值是
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选择:已知(x-2y)^2=y(2y-x),则x^2-y^2/xy的值是
已知(x-2y)^2=y(2y-x),则x^2-y^2/xy的值是?
3/2?3/2或0?
已知(x-2y)^2=y(2y-x),则x^2-y^2/xy的值是?
3/2?3/2或0?
![选择:已知(x-2y)^2=y(2y-x),则x^2-y^2/xy的值是](/uploads/image/z/18284607-63-7.jpg?t=%E9%80%89%E6%8B%A9%EF%BC%9A%E5%B7%B2%E7%9F%A5%28x-2y%29%5E2%3Dy%282y-x%29%2C%E5%88%99x%5E2-y%5E2%2Fxy%E7%9A%84%E5%80%BC%E6%98%AF)
(x-2y)^2-y(2y-x)=0
(x-2y)^2+y(x-2y)=0
(x-2y)(x-2y+y)=0
(x-2y)(x-y)=0
x=2y或x=y
若x=2y,原式=(4y^2-y^2)/2y^2=3y^2/2y^2=3/2
若x=y,原式=(y^2-y^2)/2y^2=0/2y^2=0
所以等于3/2或0
(x-2y)^2+y(x-2y)=0
(x-2y)(x-2y+y)=0
(x-2y)(x-y)=0
x=2y或x=y
若x=2y,原式=(4y^2-y^2)/2y^2=3y^2/2y^2=3/2
若x=y,原式=(y^2-y^2)/2y^2=0/2y^2=0
所以等于3/2或0
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