Difference between revisions of "2001 IMO Shortlist Problems/A6"
m (New page: == Problem == Prove that for all positive real numbers <math>a,b,c</math>, <center><math>\frac {a}{\sqrt {a^2 + 8bc}} + \frac {b}{\sqrt {b^2 + 8ca}} + \frac {c}{\sqrt {c^2 + 8ab}} \geq 1.<...) |
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[[Category:Olympiad Algebra Problems]] | [[Category:Olympiad Algebra Problems]] | ||
[[Category:Olympiad Inequality Problems]] | [[Category:Olympiad Inequality Problems]] | ||
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| + | The leader of the Bulgarian team had come up with a generalization of this with putting k in place of 8 and replacing 1 in the RHS by 3/sq root(1+k) | ||
Revision as of 14:03, 29 January 2012
Problem
Prove that for all positive real numbers 
,
Solution
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Resources
The leader of the Bulgarian team had come up with a generalization of this with putting k in place of 8 and replacing 1 in the RHS by 3/sq root(1+k)
