1997 AIME Problems/Problem 14: Difference between revisions
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== Solution == | == Solution == | ||
The solution requires use of Euler's formula: | |||
<math>\displaystyle e^{i\theta}=\cos(\theta)+i\sin(\theta)</math> | |||
== See also == | == See also == | ||
* [[1997 AIME Problems]] | * [[1997 AIME Problems]] | ||
Revision as of 19:03, 7 March 2007
Problem
Let 
and 
be distinct, randomly chosen roots of the equation 
. Let 
be the probability that 
, where 
and 
are relatively prime positive integers. Find 
.
Solution
The solution requires use of Euler's formula:
