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Find the number of real solutions to \[(x^{2006} + 1)(x^{2004} + x^{2002} + x^{2000} + \dots + x^2 + 1) = 2006x^{2005}.\]

 Feb 13, 2021
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I graphed it, and found 3 real solutions.

 Feb 13, 2021

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