|Do you have an available 5 1/4" drive bay, plus power and data connectors all available?|
Why do you want to use an IDE type burner? Unless you already have the burner drive then you would be better off getting a SATA type.
Why do you want two burner drives anyway?
The two links below are the specs for your computer and for the motherboard inside your computer. They indicate you have the drive bay available and the connections available for IDE or SATA.
If you go to the HP site you can find detailed information on how to install that type of drive.