Where Quant meets Logic
34 (17)^1/2
no one here posts detailed solutionWe dont even know whats the right answer?
the answer above is right...use differentiation or Am-Gm
The easier way to see that let f(n)=nroot(51-n)and then differentitate f(n) and eqaute is to zerof'(n)=0 gives n=34Hence the maximum value is 34root17Else you can use AM Gm(n/2 +n/2 +(51-n))/3 >= (n^2(51-n)/4)^(1/3)solve further17>=(n^2(51-n)/4)^(1/3)34root(17)>=nroot(51-n)I hope that helps
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34 (17)^1/2
ReplyDeleteno one here posts detailed solution
ReplyDeleteWe dont even know whats the right answer?
the answer above is right...
ReplyDeleteuse differentiation or Am-Gm
The easier way to see that let f(n)=nroot(51-n)
ReplyDeleteand then differentitate f(n) and eqaute is to zero
f'(n)=0 gives n=34
Hence the maximum value is 34root17
Else you can use AM Gm
(n/2 +n/2 +(51-n))/3 >= (n^2(51-n)/4)^(1/3)
solve further
17>=(n^2(51-n)/4)^(1/3)
34root(17)>=nroot(51-n)
I hope that helps