2007 Cyprus MO/Lyceum/Problem 12
Revision as of 20:45, 6 May 2007 by I_like_pie (talk | contribs)
Problem
The function has the properties
and
, where
is a constant. The value of
is
Solution
First, to determine the value of , let
.
, so
.
Now, to determine the value of , let
and
.
See also
2007 Cyprus MO, Lyceum (Problems) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 |