Find the Z-transform for (1/(s^2+s+1)). I need the solution hand- written not with a software. The final result that I got from both Matlab and Mathcad was (5.711*sin(0.866)*z)/(8.155*z^2-9.892*cos(0.866)*z+3)but I was not able to get the same answer by hand! Plz advise.