Difference between revisions of "2007 UNCO Math Contest II Problems/Problem 4"

(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...")
 
(Solution)
Line 5: Line 5:
  
 
== Solution ==
 
== Solution ==
 
+
{{solution}}
  
 
== See Also ==
 
== See Also ==

Revision as of 20:53, 5 December 2016

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

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See Also

2007 UNCO Math Contest II (ProblemsAnswer KeyResources)
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
Invalid username
Login to AoPS