2022 AIME I Problems/Problem 4
Revision as of 17:39, 17 February 2022 by MRENTHUSIASM (talk | contribs) (Added in detail explanation.)
Problem
Let and
where
Find the number of ordered pairs
of positive integers not exceeding
that satisfy the equation
Solution
We rewrite and
in polar form:
The equation
becomes
Note that
for some integer
or
~MRENTHUSIASM ~bluesoul
See Also
2022 AIME I (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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