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问题: 数学

4/x^3+x^2=3,y^3+y^2=3.求4/x^3+y^3

解答:

解:因为4/x^3+x^2=3,y^3+y^2=3.所以4/x^3=3-x^2.y^3=3-y^2
所以4/x^3+y^3 =3-x^2+3-y^2=x^2+y^2.
所以4/x^3+y^3 =x^2+y^2.即4/x^3+x^2+y^3+y^2=3+3=6
   4/x^3+x^2=y^3+y^2=3