Some really bad advice on this thread. Don't listen to personal trainers who own gyms. Most bicep tears are partial ones. Some are complete ruptures where the tendon is completely torn off. You have to get that fixed and the longer you wait the chances of success in the operation go way down. Many doctors are not concerned with athletes. Having a ripped off bicep doesn't effect the longevity or the quality of life in a non athlete. You have to see a sports orthopedist. Don't see a general one that claims he can work on everything from knees to shoulder and the rest. They are hacks. Find one that specializes on the shoulder down to the hands. Same thing for a say a hip problem. Find an orthopedist that only works on hips.
There are many problems with socialized medicine and this is one. There is no motivation by doctors financially to be involved in problems like yours. They take the path of least resistance at work. It's eventually coming to America. Think under Obama care in 10-15 years they will do a hip joint in a 70 year old man? Why waste the time and money if he is only going to have a good hip for 10 more years.
Like I said before many muscle tears are partial ones where the tendon is partially torn. I had a complete distal rupture. My bicep ended up by by delt. Had it repaired 4 or 5 days after. Took 6 months before I regained my strength. Even though it was a bicep it effected the whole arm. I started benching with just the bar and doing curls after 5 weeks holding a 2 pound weight. This is normally where guys with partial tear operation chime in saying they were back to normal in 3 weeks.