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The A.M. between m and n and the G.M. be...

The A.M. between m and n and the G.M. between a and b are each equal to `(ma + nb)/(m+n)`. Find m and n in terms of a and b.

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The correct Answer is:
`m = (2bsqrt(a))/(a-b) (sqrt(a) +- sqrt(b))` and `n = (2asqrt(b))/(a-b) (+-sqrt(a) - sqrt(b))`
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CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 C (Short Answer Type Questions)
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