Math is a big interest for me. I This blog will contain proof of interesting mathematics problems which covers Geometry, Algebra, Number theory and Combinatorics with various solution and generalizations.And I will try to make each post enjoyable to read and useful to the reader.
(By my bad English writing, some problem may be post in Chinese.)
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Friday, March 9, 2012
Let a,b,c be the positive reals
Show that
we can apply triangle inequality:
The inequality is now equivalent to
where x=a+b+c,but this is the easy exercise of quadratic function.
where x=a+b+c,but this is the easy exercise of quadratic function.
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