If black holes are so strong that even light can't escape from the event horizon, then how do we explain the burst of particle jets that escape from the event horizon? Shouldn't these particles be curved back into the center of the mass?
Be careful! The particles involved in high velocity jets are not originating from inside the event horizon. These particles might be very close to the horizon, but they are still outside of it.
The high velocity jets are typically the result of angular momentum being transferred from the black hole to this nearby matter.
There are some particles that "escape" due to the effects of Hawking Radiation. However, almost all of the material (if not all the material) that is found in the jet is material that is not within the event horizon. It is just in close proximity to the black hole.