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 December 6th, 2010, 10:38 AM #11 Global Moderator   Joined: Dec 2006 Posts: 20,927 Thanks: 2205 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 $r$. 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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