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2007 UNCO Math Contest II Problems/Problem 4

Revision as of 01:17, 20 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == If <math>x</math> is a primitive cube root of one (this means that <math>x^3 =1</math> but <math>x \ne 1</math>) compute the value of <cmath>x^{2006}+\frac{1}{x^{2...")
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Problem

If $x$ is a primitive cube root of one (this means that $x^3 =1$ but $x \ne 1$) compute the value of \[x^{2006}+\frac{1}{x^{2006}}+x^{2007}+\frac{1}{x^{2007}}.\]

Solution

See Also

2007 UNCO Math Contest II (Problems • Answer Key • Resources)
Preceded by
Problem 3 		Followed by
Problem 5
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10
All UNCO Math Contest Problems and Solutions
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