Yeah,
Since those speakers are 5.1 analog, and while they don't have a single headphone jack, you do have a problem.
I think Dell used to supply a 3-way headphone jack splitter to bring speakers like yours into a single jack, for those systems that didn't have Dolby decoding or 3-jack sound cards. But a 3-way splitter may be hard to find, and the sound is probably poorer for it. You may be able to try to take two very cheap (about a buck a piece on eBay) 2-way splitters and gang them together to consolidate into one headphone jack, just to see if it is possible or acceptable to you, sound wise.
But, if you don't want to get some 2.1 analog speakers or some 5.1 digital speakers (both will connect to the Mini via one cable), you may do better to just buy an M-Audio Sonica Theatre. That's a USB sound card dongle that will bridge your three headphone jacks into your Mini, and it will give a good deal of sound adjustment to your speakers.
I don't know if the Sonica Theatre is still in production, but many new ones are undoubtedly for sale at eBay for under $80, I would think.
I still use one on a PPC Mini hooked up to an HDTV and 5.1 Dolby system, via its additional digital coaxial connector.
Please let us hear how it goes.
Peace to you,
C. Livingstone