已知1/a+1/b=√5(a≠b),求a/b(a-b)-b/a(a-b)的值.
a/b(a-b)-b/a(a-b)
=(a²-b²)/[ab(a-b)](通分)
=(a+b)(a-b)/ab(a-b)
=a+b/ab
=a/ab+b/ab
=1/b+1/a
=√5
已知1/a+1/b=√5(a≠b),則分式a/b(a-b)-b/a(a-b)的值是( ).
已知1/a+1/b=√5(a≠b),則分式a/b(a-b)-b/a(a-b)的值是( ).
數(shù)學(xué)人氣:930 ℃時(shí)間:2020-06-22 04:46:27
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