Difference between revisions of "2006 Romanian NMO Problems/Grade 8/Problem 4"
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''selected by Mircea Lascu'' | ''selected by Mircea Lascu'' | ||
==Solution== | ==Solution== | ||
| + | {{solution}} | ||
==See also== | ==See also== | ||
| + | *[[2006 Romanian NMO Problems/Grade 8/Problem 3 | Previous problem]] | ||
| + | *[[2006 Romanian NMO Problems/Grade 8/Problem 5 | Next problem]] | ||
*[[2006 Romanian NMO Problems]] | *[[2006 Romanian NMO Problems]] | ||
[[Category:Olympiad Algebra Problems]] | [[Category:Olympiad Algebra Problems]] | ||
Revision as of 23:22, 10 November 2006
Problem
Let ![$a,b,c \in \left[ \frac 12, 1 \right]$](http://latex.artofproblemsolving.com/6/1/5/615213db0ab5e339395bf928b755a587570364f8.png)
. Prove that
.selected by Mircea Lascu
Solution
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