Am>gm (1 Viewer)

[kwabon]

How do you people set out these fucked up inequalities. I have no clue how to set them out, I normally just work backwards till I get a perfect square > 0 or someshit then rewrite the whole thing forwards by saying consider (instert last line of working backwards).

always try and start out with using Am>Gm, its helps a alot and most of the times it is quicker and easier than the expanding and factorising and what not.

 

[The Nomad]

In the 1998 HSC, question 8 it says 'Prove by induction'. Although there are 2 previous parts to the question, I'm sure Untouchable's proof can be used in the third step...nothing stopping anyone from doing that.