We are given the following five facts about a discrete-time signal x[n] with z-transform X(z):
1. x[n] is real and right-sided.
2. X(z) has exactly two poles.
3. X(z) has two zeros at the origin.
4. X(z) has a pole at .
5.X(1)= .
Determine X(z) and specify its region of convergence.
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