已知x^2+xy-2y^2=0 (x不等于0,y不等于0),求x/y-y/x-(x^2+y^2)/xy的值
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![已知x^2+xy-2y^2=0 (x不等于0,y不等于0),求x/y-y/x-(x^2+y^2)/xy的值](/uploads/image/z/976372-52-2.jpg?t=%E5%B7%B2%E7%9F%A5x%5E2%2Bxy-2y%5E2%3D0++%28x%E4%B8%8D%E7%AD%89%E4%BA%8E0%2Cy%E4%B8%8D%E7%AD%89%E4%BA%8E0%EF%BC%89%2C%E6%B1%82x%2Fy-y%2Fx-%28x%5E2%2By%5E2%29%2Fxy%E7%9A%84%E5%80%BC)
已知x^2+xy-2y^2=0 (x不等于0,y不等于0),求x/y-y/x-(x^2+y^2)/xy的值
已知x^2+xy-2y^2=0 (x不等于0,y不等于0),求x/y-y/x-(x^2+y^2)/xy的值
已知x^2+xy-2y^2=0 (x不等于0,y不等于0),求x/y-y/x-(x^2+y^2)/xy的值
因为x^2+xy-2y^2=0
所以x=-2y x=y
(1)x=-2y
所以
x/y-y/x-(x^2+y^2)/xy
=-2+1/2+5/2=1
(2)x=y
x/y-y/x-(x^2+y^2)/xy
=1-1-2=-2