Currently i m preparing for my control systems exam, and i saw a question about nyquist which asks 'For which K value transfor function is critically stable?' there is function and nyquist plot. So i decided to solve question with root locus too for double check and K i found on root locus plot is different than Nyquist plot and i checked with mathlab too.Did i miss something i thought root locus plot and Nyquist plot suppose to give me same answer.
Thank you for reading..
Do you have an expression of the open-loop transfer function? If so, just try to substitute both $K$ values and chack the closed-loop poles.