To connect a powered subwoofer to a surround sound system using only black and red speaker wires, you can use a speaker-level input method. Connect the positive (red) wire from the sub channel to the positive terminal of the subwoofer and the negative (black) wire to the negative terminal. If your subwoofer has high-level inputs, you can also connect the speaker wires from the surround receiver directly to the subwoofer's high-level inputs, allowing it to receive the audio signal and amplify it. Ensure that all connections are secure before powering on the system.
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