1988 AIME Problems/Problem 4
From AoPSWiki
Problem
Suppose that 
for 
. Suppose further that
What is the smallest possible value of 
?
Solution
Since then
So 
. We now just need to find an example where 
: suppose 
and 
; then on the left hand side we have 
. On the right hand side, we have 
, and so the equation can hold for 
.
See also
| 1988 AIME (Problems • Resources) | ||
| Preceded by Problem 3 | Followed by Problem 5 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
