I wish I had the time back that I've spent in my life trying to get a freaking disc to eject from a Mac computer.
Lucky for me part of what makes OSX so much freaking easier is that you can go into command-line in UNIX. Because when I think "easy" and "user friendly" I think UNIX.
Lucky for me to check the root drive without a working DVD drive goes like this: the single user mode "command-S" command is "fsck -fy". Got that? Good.