Why is it enough to prove that (a+b+c) ^2 greater than or equal to 3/2 cyclic sum a(b+c)
#Inequalities
surreal grove
rich juncoBOT
cursive gust
Why is it enough to prove that (a+b+c) ^2 greater than or equal to 3/2 cyclic su...
Just replace (a+b+c)^2 in (a+b+c)^3 in above inequality
and divide both parts by sum_cyc a(b+c)
surreal grove
Just replace (a+b+c)^2 in (a+b+c)^3 in above inequality
Why would it be okay to do this?
cursive gust
surreal grove
But that is 3/2(a+b+c), not (a+b+c)^2 (?)
cursive gust
But that is 3/2(a+b+c), not (a+b+c)^2 (?)
I don't get what you ask. Just extract square roots on both sides and get the required inequality in the statenent.
surreal grove
Could you show the complete proof? I still dont get it
cursive gust
Could you show the complete proof? I still dont get it
