Difference between revisions of "2001 AIME I Problems/Problem 3"
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== Problem == | == Problem == | ||
+ | Find the sum of the roots, real and non-real, of the equation <math>x^{2001}+\left(\frac 12-x\right)^{2001}=0</math>, given that there are no multiple roots. | ||
== Solution == | == Solution == | ||
+ | {{solution}} | ||
== See also == | == See also == | ||
− | + | {{AIME box|year=2001|n=I|num-b=2|num-a=4}} | |
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Revision as of 00:20, 20 November 2007
Problem
Find the sum of the roots, real and non-real, of the equation , given that there are no multiple roots.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
2001 AIME I (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |