Should I have an apicoectomy or implant?

If the root canal did not worked out , and the tooth is presenting a rejection , dont think that the apiectomy cannot give you the same problem , at the end you will have the same tooth , but shorter,that tooth is almost lost , so do not put good money on a non predictable tooth, you should take it out and place instead a correct big strong implant , that will give you a proper solution , and a more predictable.