1988 AIME Problems/Problem 4
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 • Answer Key • Resources) | ||
Preceded by Problem 3 |
Followed by Problem 5 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |
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