For KVPY

Algebra Level pending

Let S denotes the set of all real values of x such that \[ \sum_{P=0}^{P=K} x^{2P} = \dfrac{(2K+2) x^{2K+2}}{x(x^{2K+2} + 1)} \] holds true for some positive integer k . Find the number of elements in the set S. If u think Number of elements depend on k enter 2016

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