Difference between revisions of "2007 UNCO Math Contest II Problems/Problem 4"
(→Solution) |
(→Solution) |
||
(2 intermediate revisions by 2 users not shown) | |||
Line 5: | Line 5: | ||
== Solution == | == Solution == | ||
+ | <math>\fbox{+1}</math> | ||
− | {{ | + | Since <math>x^3=1</math> ,<math>x^{2006}=x^2</math> , <math>x^{2007}=1</math>, <math>x+\frac{1}{x}=-1</math> |
== See Also == | == See Also == |
Latest revision as of 05:11, 12 January 2019
Problem
If is a primitive cube root of one (this means that but ) compute the value of
Solution
Since , , ,
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 |