Difference between revisions of "University of South Carolina High School Math Contest/1993 Exam/Problem 4"
Line 7: | Line 7: | ||
Notice that <math>(1+i)^{2}=2i</math>. We then have <math>(2i)^{50}=-2^{50}</math>. | Notice that <math>(1+i)^{2}=2i</math>. We then have <math>(2i)^{50}=-2^{50}</math>. | ||
− | + | ---- | |
+ | |||
+ | * [[University of South Carolina High School Math Contest/1993 Exam/Problem 3|Previous Problem]] | ||
* [[University of South Carolina High School Math Contest/1993 Exam/Problem 5|Next Problem]] | * [[University of South Carolina High School Math Contest/1993 Exam/Problem 5|Next Problem]] | ||
* [[University of South Carolina High School Math Contest/1993 Exam]] | * [[University of South Carolina High School Math Contest/1993 Exam]] |
Revision as of 12:29, 23 July 2006
Problem
If is expanded and written in the form where and are real numbers, then
Solution
Notice that . We then have .