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 ==
* [[2001 AIME I Problems/Problem 2 | Previous Problem]]
+
{{AIME box|year=2001|n=I|num-b=2|num-a=4}}
 
 
* [[2001 AIME I Problems/Problem 4 | Next Problem]]
 
 
 
* [[2001 AIME I Problems]]
 

Revision as of 00:20, 20 November 2007

Problem

Find the sum of the roots, real and non-real, of the equation $x^{2001}+\left(\frac 12-x\right)^{2001}=0$, 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 (ProblemsAnswer KeyResources)
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
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