Difference between revisions of "2000 IMO Problems/Problem 2"
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Let <math>a, b, c</math> be positive real numbers with <math>abc=1</math>. Show that | Let <math>a, b, c</math> be positive real numbers with <math>abc=1</math>. Show that | ||
| − | <cmath>\left(a-a+\frac{1}{b}\right | + | <cmath>\left( a-a+\frac{1}{b} \right)</cmath> |
| − | |||
==Solution== | ==Solution== | ||
be positive real numbers with 
. Show that
![\[\left( a-a+\frac{1}{b} \right)\]](http://latex.artofproblemsolving.com/a/6/9/a699af3693e6ffcca44c8651f2b78477f47d8fef.png)
