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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Find least possible value
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pantpranav (387)

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Find the least possible value of the expression:


9a2 / b + 243/ab + 9b2 / a


Where a & b  are +ve integers?

    
pink_ele (1380)

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d giiven xpression is
=9(a^3+27+b^3)/ab
=9{(a+b)(a^2+b^2-ab)+27}/ab
=9(a+b)(a/b+b/a-1)+27/ab}
this attians minima at a=b1
thus req value=29

nobody is wrong
even a stopped clock is right twice a day
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rajatsen91 (1403)

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wait posting the solution. 



I like to be myself.
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