Assume a discrete-time system is represented by the following difference equation yn+2]+5y[n 1] + 6y[n] = 2x[n+1]+[n], answer the following questions with initial conditions y[-2] = 0, y[-1] = 1. (a) Find the characteristic roots for the system. (b) Find the zero-input response. (c) Is the system asymptotically stable? Justify your answers. (d) Find the impulse response.