I just hope that if ever faced with the same situation, I have the sang froid to announce something like"Ladies and Gentlemen, this is your Captain speaking. We have a small problem. All four engines have stopped. We are doing our damnedest to get them going again. I trust you are not in too much distress." instead of just swearing a lot...
Personally, in that situation, if I was SLF I would not want the flightcrew to waste one precious moment talking to me... they could swear as much as they wanted... just as long as they got at least one engine back on line.