2021 AIME II Problems/Problem 4
Contents
Problem
There are real numbers 
and 
such that 
is a root of 
and 
is a root of 
These two polynomials share a complex root 
where 
and 
are positive integers and 
Find 
Solution 1
Conjugate root theorem
Solution in progress
~JimY
Solution 2
See also
| 2021 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
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