4x^3-4x^2y-xy^2+y^3=0
问题描述:
4x^3-4x^2y-xy^2+y^3=0
忘了...求(x^2+y^2)/xy的值....(XY≠0)
答
4x^3-4x^2y-xy^2+y^3=0 4x^3-4x^2y+xy^2-2xy^2+y^3=0 x(4x^2-4xy+y^2)-2xy^2+y^3=0x(2x-y)^2-y^2(2x-y)=0(2x-y)(2x^2-xy-y^2)=0(2x-y)(2x^2-2xy+xy-y^2)=0(2x-y)[2x(x-y)+y(x-y)]=0(2x-y)(2x+y)(x-y)=0所以2x-y=0或2...