Difference between revisions of "Mock AIME 3 Pre 2005 Problems/Problem 4"
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| − | + | ==Problem== | |
| − | + | <math>\zeta_1, \zeta_2,</math> and <math>\zeta_3</math> are complex numbers such that | |
<math>\zeta_1 + \zeta_2 + \zeta_3 = 1</math> | <math>\zeta_1 + \zeta_2 + \zeta_3 = 1</math> | ||
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Compute <math>\zeta_1^{7} + \zeta_2^{7} + \zeta_3^{7}</math>. | Compute <math>\zeta_1^{7} + \zeta_2^{7} + \zeta_3^{7}</math>. | ||
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| + | ==Solution== | ||
| + | {{solution}} | ||
| + | |||
| + | ==See also== | ||
Revision as of 08:34, 14 February 2008
Problem
and 
are complex numbers such that
Compute 
.
Solution
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