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December 6th, 2010, 10:38 AM  #11 
Global Moderator Joined: Dec 2006 Posts: 20,484 Thanks: 2041 
Any complex number can be expressed in that form. In this problem, the roots have the same absolute value, so they can be expressed using the same value for . Showing that p²/q² > 0 includes showing that p²/q² is real. Since it's positive, its square root is also real.


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