The Beats Solo HD are not wireless headphones. Neither are the Beats Solo2. They may come with detachable wires, but they are still wired headphones so yes, they will work with your PC without issue.
if the op plans on using the bluetooth wireless version they would either need a bluetooth receiver built into the motherboard (some have this) or a bluetooth usb dongle which would add this capability to any computer.
Ah, can't believe I missed that! I stand corrected, sir. But yeah, Bluetooth issues are easily solved and usually very cheap; would only be a minor inconvenience.