1/a+1/b=5/(a+b),则b/a+a/b的值为
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![1/a+1/b=5/(a+b),则b/a+a/b的值为](/uploads/image/z/11528075-11-5.jpg?t=1%2Fa%2B1%2Fb%3D5%2F%28a%2Bb%29%2C%E5%88%99b%2Fa%2Ba%2Fb%E7%9A%84%E5%80%BC%E4%B8%BA)
1/a+1/b=5/(a+b),则b/a+a/b的值为
1/a+1/b=5/(a+b),则b/a+a/b的值为
1/a+1/b=5/(a+b),则b/a+a/b的值为
1/a+1/b
=(a+b)/ab
=5/(a+b)
所以(a+b)^2=5ab
a^2+b^2=3ab
b/a+a/b
=(a^2+b^2)/ab
=3ab/ab
=3
1/a+1/b=5/(a+b)
所以(a+b)^2/ab=5
b/a+a/b=(a+b)^2/ab -2=5-2=3