已知分式A和B满足条件A+B=b/a和A—B=a/b,试求分式A和B
人气:286 ℃ 时间:2019-12-18 03:31:31
解答
A+B=b/a
A—B=a/b,
两式相加得:2A=b/a+a/b=(b^2+a^2)/ab
A=(b^2+a^2)/2ab
两式相减得:2B=b/a-a/b=(b^2-a^2)/ab
B=(b^2-a^2)/2ab
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