1996 AIME Problems/Problem 11: Difference between revisions
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== Problem == | == Problem == | ||
{{ | Let <math>\mathrm {P}</math> be the product of the roots of <math>z^6+z^4+z^3+z^2+1=0</math> that have an imaginary part, and suppose that <math>\mathrm {P}=r(\cos{\theta^{\circ}}+i\sin{\theta^{\circ}})</math>, where <math>0<r</math> and <math>0\leq \theta <360</math>. Find <math>\theta</math>. | ||
== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
Revision as of 15:08, 24 September 2007
Problem
Let 
be the product of the roots of 
that have an imaginary part, and suppose that 
, where 
and 
. Find 
.
Solution
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See also
| 1996 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
