How can i hook up computer speakers to stereo speakers?

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I just bought two decent stereo speakers and hooked them up to my computer. It sounds great, but i want more sound so im wondering if i could hook up my computer speakers to my new ones. The computer speakers are normal speakers and have just the one cord to plug into the computer, where as the new speakers have the same cord except to plug them into the speaker it uses a red and white plug in thingers. There are 2 slots each of these red and white inputs, so im thinking it has something to do with that. Any help? This question probably sounds really confusing, but any ideas would be appreciated.