Difference between revisions of "AoPS Wiki:Problem of the Day/September 11, 2011"

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<math>\textbf{(A)}</math> 1001 <math>\textbf{(B)}</math> 1002 <math>\textbf{(C)}</math> 2001 <math>\textbf{(D)}</math>  2002 <math>\textbf{(E)}</math> 2004
 
<math>\textbf{(A)}</math> 1001 <math>\textbf{(B)}</math> 1002 <math>\textbf{(C)}</math> 2001 <math>\textbf{(D)}</math>  2002 <math>\textbf{(E)}</math> 2004
  
Source: AMC 12
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Source: [[AMC 12]]
  
 
<noinclude>[[Category: Problem of the Day]]<noinclude>
 
<noinclude>[[Category: Problem of the Day]]<noinclude>

Latest revision as of 13:07, 11 September 2011

Find the number of ordered pairs of real numbers $(a,b)$ such that $(a + bi)^{2002} = a - bi$.

$\textbf{(A)}$ 1001 $\textbf{(B)}$ 1002 $\textbf{(C)}$ 2001 $\textbf{(D)}$ 2002 $\textbf{(E)}$ 2004

Source: AMC 12