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The harmonic mean between two numbers is...

The harmonic mean between two numbers is 21/5, their A.M. `' A '` and G.M. `' G '` satisfy the relation `3A+G^2=36.` Then find the sum of square of numbers.

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The correct Answer is:
58
`H=21//5,3A+G^(2)=36`
or 3A+AH=36
or A=5
or a+b=10
Also, from H=2ab/(a+b)=21/5,ab=21, we have
`a^(2)+b^(2)=(a+b)^(2)-2a=100-42=58`
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