Difference between revisions of "2021 AIME II Problems/Problem 4"
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==Solution 2== | ==Solution 2== | ||
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==See also== | ==See also== | ||
{{AIME box|year=2021|n=II|num-b=3|num-a=5}} | {{AIME box|year=2021|n=II|num-b=3|num-a=5}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 02:22, 23 March 2021
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
Solution 3 (Somewhat Bashy)
See also
| 2021 AIME II (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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
