Difference between revisions of "1997 IMO Problems/Problem 3"
(Created page with "==Problem== Let <math>x_{1}</math>, <math>x_{2}</math>,...,<math>x_{n}</math> be real numbers satisfying the conditions <math>|x_{1}+x_{2}+...+x_{n}|=1</math> and <math>|x...") |
(→Solution) |
||
| Line 16: | Line 16: | ||
==Solution== | ==Solution== | ||
{{solution}} | {{solution}} | ||
| + | |||
| + | ==See Also== | ||
| + | |||
| + | {{IMO box|year=1997|num-b=2|num-a=4}} | ||
| + | [[Category:Olympiad Geometry Problems]] | ||
| + | [[Category:3D Geometry Problems]] | ||
Latest revision as of 00:01, 17 November 2023
Problem
Let 
, 
,...,
be real numbers satisfying the conditions
and
, for 
Show that there exists a permutation 
, 
,...,
of , ,..., such that
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 1997 IMO (Problems) • Resources | ||
| Preceded by Problem 2 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 4 |
| All IMO Problems and Solutions | ||
