Connected this dual speaker to my cmpact desktop comp and it does not want to work

First step is to assure that the speakers are working. If you have no other computer or sound system to test the speakers, then attach a AA, AAA or C battery to the speakers plug. It makes no difference in the polarity. If it makes a horrible white noise, the speakers are in good working order, if it makes no noise, the speakers are at fault. Should the speakers be ok, then in all probability you have a configuration problem. Go to control panel, select Sound and Audio devices, and check that the proper configuration options have been selected, and that the speaker volume sliders are at least at the 50% mark. If this doesnt solve your problem, then a computer motherboard component might have failed. Keep me posted