已知实数a.b满足等式1/a+1/b=1/a-b,求b/a的值

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已知实数a.b满足等式1/a+1/b=1/a-b,求b/a的值已知实数a.b满足等式1/a+1/b=1/a-b,求b/a的值已知实数a.b满足等式1/a+1/b=1/a-b,求b/a的值1/a+1/b

已知实数a.b满足等式1/a+1/b=1/a-b,求b/a的值
已知实数a.b满足等式1/a+1/b=1/a-b,求b/a的值

已知实数a.b满足等式1/a+1/b=1/a-b,求b/a的值
1/a+1/b=1/(a-b)
(a+b)/ab=1/(a-b)
(a+b)(a-b)=ab
a²-ab-b²=0
b²+ab-a²=0
(b/a)²+b/a-1=0
b/a=(-1±√5)/2