Art of Problem Solving

2006 AIME I Problems/Problem 12: Difference between revisions

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== Problem ==
== Problem ==
Find the sum of the values of <math> x </math> such that <math> \cos^3 3x+ \cos^3 5x = 8 \cos^3 4x \cos^3 x, </math> where <math> x </math> is measured in degrees and <math> 100< x< 200. </math>
Find the sum of the values of <math> x </math> such that <math> \cos^3 3x+ \cos^3 5x = 8 \cos^3 4x \cos^3 x, </math> where <math> x </math> is measured in degrees and <math> 100< x< 200. </math>


== Solution ==
== Solution ==


== See also ==
== See also ==
* [[2006 AIME I]]
* [[2006 AIME I Problems]]

Revision as of 11:15, 30 June 2006

Problem

Find the sum of the values of $x$ such that $\cos^3 3x+ \cos^3 5x = 8 \cos^3 4x \cos^3 x,$ where $x$ is measured in degrees and $100< x< 200.$



Solution

See also