1987 AIME Problems/Problem 5
Problem
Find if and are integers such that .
Solution
If we move the term to the left side, it is factorable:
is equal to . Since and are integers, cannot equal a multiple of three. doesn't work either, so , and . This leaves , so . Thus, .
See also
1987 AIME (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
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