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 Post subject: DS: Is x^4 + y^4 > z^4 ?
 Post Posted: Sat Oct 18, 2008 1:43 pm 
Is x^4 + y^4 > z^4 ?

1. x^2 + y^2 > z^2

2. x + y > z


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 Post subject:
 Post Posted: Mon Oct 20, 2008 3:37 pm 
http://www.manhattangmat.com/forums/is- ... t4655.html


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 Post subject:
 Post Posted: Fri Nov 07, 2008 4:59 am 
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ManhattanGMAT Staff


Posts: 7146
heh heh, that problem.

let me say the following:

this problem should serve as a nice wake-up call to any and all students who don't like "plug-in methods", or who abjure such methods so that they can keep searching ... and searching ... and searching for the elusive "textbook" method.
this problem is pretty much ONLY soluble with plug-in methods. therefore, you MUST make plug-in methods part of your arsenal if you want a fighting chance at all quant problems you'll see.

this is the case for a great many difficult inequality problems, by the way: the most difficult among those problems will often require some sort of plug-ins, or, at the very least, they will be hell on earth if you try to use theory.


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