iit problems related to inequalities are simpler compared to IMO problems
OpenStudy (rational):
so you can use this textbook as an extra read while preparing for iit too
there is no harm in learning more
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OpenStudy (mayankdevnani):
correct ! @rational this is i want to say @No.name
OpenStudy (anonymous):
Yeah precisely :)
OpenStudy (mayankdevnani):
by the way, are you indian ? @rational
OpenStudy (anonymous):
^ ?
OpenStudy (mayankdevnani):
kya rational indian h ? main yeh pooch raha huin !
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OpenStudy (anonymous):
yes i meant to say , i am asking the same question as you were asking
SO,
"^ ? "
OpenStudy (mayankdevnani):
what i have asked ? @No.name
OpenStudy (rational):
yes :)
try this little inequality problem
prove below for \(a,b,c\in \mathbb{R}\)\[\dfrac{a^2+b^2+c^2}{abc}\ge \dfrac{1}{a} + \dfrac{1}{b} + \dfrac{1}{c}\]
OpenStudy (anonymous):
First prove
a^2 + b^2 + c^2 >= ab +bc +ca
Then divide both by abc
OpenStudy (rational):
That will do haha!
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OpenStudy (anonymous):
TP
a^2 + b^2 + c^2 >= ab +bc +ca
Apply AM-GM on a^2 , b^2
Similarly , yeah u got the point !!
OpenStudy (anonymous):
well any clever approach?
OpenStudy (rational):
To me what you have is a clever approach because it is neat xD