Can't open them to try to fix them

With a flat head screwdriver or spudger, remove the front grill. Will pry off pretty easily. Once off, remove the four corner screws and the three center screws and you're in.
Good luck.
Dave

The Logitech is a little tricky. You need to carefully pry off the white bezel around the speakers and then pry away the grills. Under the grill you will find four screws holding the two speakers, and four screws set deep in holes.

Undo these eight screws and the front will come off.

see if the ice is frozen, there are three screws holding the ice maker in, two on top and one on bottom. The two top screws are teardrop screws and don't need to come all the way out. The bottom screw does need to come out. The electrical connection is a squeeze type and the unit should come out. Clean it out and re- insatll to see if that helps.

are you sure this is not coming from the component and not the speakers? what head unit are you using

While this may sound strange, it is not likely the receiver that is the probem, at least at this point. Remove the "tweeters" from the speakers and measure across the two leads. You should read continuity. If not, then the tweeters need to be replaced. I believe that you may have blown the tweeters.

Dan

There is only four visible screws on the outside of the unit, which are the ones that everyone's found already.  Two are in the battery compartment, two in the storage compartment.  However I managed to find the location of the other TEN!  You need to take off the screens on top of the speaker.  The safe way I managed to do it was by using a very small flathead screwdriver and I would start at the bottom and work my way to the top on the outside edge of the speaker grill, just putting it between the grill and the plastic and turning the screwdriver up a little and inwards.  
Once that's off you'll see four screws around the outside of each speaker and an additional screw sunk in above each speaker.  Once the screws are off, slowly just start to wiggle the two sides apart.  They're together tight, so just be patient and work it open slowly.
I should also mention that the ends of these speakers (that the seam doesn't seem to continue on) is actually a thin piece of plastic on each side and is stuck on with really sticky double-sided tape of some sort or rubber cement, something like that.  If you're careful, you can pull these off (slowly, once again).  It'll make pulling the two sides apart a LOT easier.
Hope this helps!

It may not be only wires loose; the speaker(or speakers) may be damaged.

The common 'dynamic' speaker has a centered magnet in an assembly that extends the field of the magnet around a coil of wire on a form called the 'voice coil' that is firmly attached to the cone which moves in and out to 'pump' air and produce sound.
The clearances (gap) between the magnet assembly and the voice coil that sits in a narrow space between the magnet and the outer field piece is very small and critical.

Once positioned in the factory, glue is used to keep the field assembly from slipping and rubbing against the voice coil.

A strong shock will break the glue bond and, if severe enough, clamp the voice coil so it cannot move freely any more.

Since the Bose is a quality product, the cabinet may be assembled with glue and screws that are concealed.

If you know someone with a simple multimeter, they may be able to check at the terminals to see if there is any continuity from the terminals to the speaker.
If it doesn't have any, then perhaps only a wire is broken between the terminals and the speakers.
There is with high probability also a filter inside that separates the frequency range and sends the signal to separate speakers that produce different ranges of sound.

In addition to all the screws mentioned in the bottom of the speaker, the HK695 has an internal brace that runs the length of the case and provides a support bracket for the speaker. To separate the halves of the sub woofer, carefully use a paperclip or something similar to hook the screen over the speaker and pull it off. Once the speaker is exposed, remove the four screws, pull out the speaker and disconnect the speaker wires. Remove the speaker. At this point, the halves will separate enough for you to disconnect the two multi-connector electrical cables that run from the circuit board in the base to the circuit board in the top. Once that is done the case will come apart.

the plastic pieces on the top and bottom are just stick on. pry them off gently and you'll find four of the tiniest screws on the top and bottom(you'll need a precision screwdriver) after you remove the screw pull the metal pieces on top and bottom off carefully with the screwdriver. the whole piece is shoehorned in, but it will push out just far enough to reveal the aux. jack. you'll probably find that this piece is cracked and that is why it only play through one or no sides. i'm still looking to find this piece.
hope this is helpful to you,.