Question

已知1/x-1/y=6/x+y,则y/x+x/y=?

Answer 1

=±2√10方法如下，请作参考：

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Answer 2

1/x - 1/y = 6/(x+y), (y-x)/(xy) = 6/(x+y), xy = (y^2-x^2)/6
则 y/x + x/y = (y^2+x^2)/(xy) = 6(y^2+x^2)/(y^2-x^2)
无确定值。请附印刷版原题图片。