Problem:
For which of the following values of  does the equation  have no solution for 
Answer Choices:
A.  
B.  
C.  
D.  
E.  
Solution:
From the given equation we have . This implies that
so
Hence a value of satisfying the equation occurs unless .
Note that when there is also no solution for , but this is not one of the answer choices.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions