Problem:
How many ordered pairs such that is a positive real number and is an integer between 2 and 200, inclusive, satisfy the equation
Answer Choices:
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Solution:
Let . Because , either or . If , then and can be any integer from 2 to 200 . If , then , where again can be any integer from 2 to 200 . Therefore there are such ordered pairs.
The problems on this page are the property of the MAA's American Mathematics Competitions