# Problem 1

Algebra Level 4

$\big(x^{2010}+1)(1+x^{2}+x^{4}+...+x^{2008})=2010x^{2009}$

Let $$S$$ denote the set of all real values of $$x$$ such that they satisfy the equation above, then the number of elements in $$S$$ is?

×