x^2+y^2=3xy xy≠0 求x^2 y^-2 + x^-2 y^2

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x^2+y^2=3xyxy≠0求x^2y^-2+x^-2y^2x^2+y^2=3xyxy≠0求x^2y^-2+x^-2y^2x^2+y^2=3xyxy≠0求x^2y^-2+x^-2y^2x^2+y^2

x^2+y^2=3xy xy≠0 求x^2 y^-2 + x^-2 y^2
x^2+y^2=3xy xy≠0 求x^2 y^-2 + x^-2 y^2

x^2+y^2=3xy xy≠0 求x^2 y^-2 + x^-2 y^2
x^2+y^2=3xy
两边平方
x^4+2x^2y^2+y^4=9x^2y^2
x^4+y^4=7x^2y^2
两边除以x^2y^2
x^2 y^-2 + x^-2 y^2=7