1997 USAMO Problems/Problem 5: Difference between revisions

Revision as of 08:18, 16 January 2013

== Problem == Prove that, for all positive real numbers $a, b, c,$

$(a^3+b^3+abc)^{-1}+(b^3+c^3+abc)^{-1}+(a^3+c^3+abc)^{-1}\le(abc)^{-1}$ .

This problem needs a solution. If you have a solution for it, please help us out by adding it.

Revision as of 08:16, 16 January 2013 view source SmagulovaAya (talk \| contribs) 8 edits No edit summary ← Older edit		Revision as of 08:18, 16 January 2013 view source SmagulovaAya (talk \| contribs) 8 edits No edit summary Newer edit →
Line 1:		Line 1:
	[[File:~~Example~~.jpg]]== Problem ==		[[File:USAMO97(5-solution).jpg]]== Problem ==
	Prove that, for all positive real numbers <math>a, b, c,</math>		Prove that, for all positive real numbers <math>a, b, c,</math>

1997 USAMO (Problems • Resources)
Preceded by Problem 4	Followed by Problem 6
1 • 2 • 3 • 4 • 5 • 6
All USAMO Problems and Solutions