Understanding Equal Coefficients in Partial Fraction Expansion for Z-Transforms

Math Problem Statement

Can you explain how a1=a2 here

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Z-transform
Inverse Z-transform
Partial Fraction Expansion

X(z) = A1 / (1 + z^(-1)) + A2 / (1 - z^(-1)) + A3 / (1 - z^(-1))^2
Inverse Z-transform formula

Partial Fraction Expansion
Inverse Z-Transform Theorem

Undergraduate Level (Signals and Systems)

Understanding Z-transform Decomposition and A1 = A2 Relationship

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