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MathNet 2006 — Part 03 Question 151

Math Olympiad Vault · MathNet 2006 — Part 03

Question 151

The number of real solutions for equation
$$
(x^{2006} + 1)(1 + x^2 + x^4 + \cdots + x^{2004}) = 2006x^{2005}
$$
is \underline{\quad}.