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if ab=2a+3b, a>0,b>0 then the min. value of ab=?

(plz tell the answer by using inequalities and also differentiation  and by any simple method u have)thnku... 

6 years ago


Answers : (1)


Dear ajinkya

ab=2a+3b ...............1

use AM ≥GM

 (2a+3b)/2  ≥ (6ab)1/2

 or  (2a+3b)  ≥ 2(6ab)1/2

 so from equation 1

 ab ≥ 2(6ab)1/2

 (ab)1/2 ≥ 2(6)1/2

ab ≥ 24

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6 years ago

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