Recovering an Acer Aspire One from a black screen

After being left unplugged for a while, the AA1's battery was completely drained. Connecting it to a power supply showed the charging light coming on, and there were whirring sounds to suggest the disk was starting up, but there was no display on the screen at all.

Forums recommended running a recovery disk, but as the AA1 runs Ubuntu, and these are .exe files, it seemed to me this wouldn't work.

I was wrong! I followed the steps here and in no time the AA1 was giving me a display once more!