What is the partial fraction expansion of X(z)= ( frac{1+z^{-1}}{1-z^{

1.	What is the partial fraction expansion of X(z)= ( frac{1+z^{-1}}{1-z^{-1}+0.5z^{-2}} )?
A.	( frac{z(0.5-1.5j)}{z-0.5-0.5j} frac{z(0.5+1.5j)}{z-0.5+0.5j} )
B.	( frac{z(0.5-1.5j)}{z-0.5-0.5j} + frac{z(0.5+1.5j)}{z-0.5+0.5j} )
C.	( frac{z(0.5+1.5j)}{z-0.5-0.5j} frac{z(0.5-1.5j)}{z-0.5+0.5j} )
D.	( frac{z(0.5+1.5j)}{z-0.5-0.5j} + frac{z(0.5-1.5j)}{z-0.5+0.5j} )
Answer» C. ( frac{z(0.5+1.5j)}{z-0.5-0.5j} frac{z(0.5-1.5j)}{z-0.5+0.5j} )

Discussion

What is the causal signal x(n) having the z-transform X(z)= ( frac{1}{(1+z^{-1})(1-z^{-1})^2} )?
What is the inverse z-transform of X(z)= ( frac{1}{1-1.5z^{-1}+0.5z^{-2}} ) if ROC is 0.5<|z|<1?
What is the inverse z-transform of X(z)= ( frac{1}{1-1.5z^{-1}+0.5z^{-2}} ) if ROC is |z|<0.5?
What is the partial fraction expansion of X(z)= ( frac{1}{(1+z^{-1})(1-z^{-1})^2} )?
What is the partial fraction expansion of X(z)= ( frac{1+z^{-1}}{1-z^{-1}+0.5z^{-2}} )?
What is the partial fraction expansion of the proper function X(z)= ( frac{1}{1-1.5z^{-1}+0.5z^{-2}} )?
What is the proper fraction and polynomial form of the improper rational transformX(z)= ( frac{1+3z^{-1}+ frac{11}{6} z^{-2}+ frac{1}{3} z^{-3}}{1+ frac{5}{6} z^{-1}+ frac{1}{6} z^{-2}} )?
What is the inverse z-transform of X(z)=log(1+az-1) |z|>|a|?
What is the inverse z-transform of X(z)= ( frac{1}{1-1.5z^{-1}+0.5z^{-2}} ) if ROC is |z| < 0.5?
What is the inverse z-transform of X(z)= ( frac{1}{1-1.5z^{-1}+0.5z^{-2}} ) if ROC is |z|>1?