I used `/Applications/Utilities/Disk Utility.app` to check root partitions for problems and Verify Disk function said there were some issues.

But there seems to be no way to run Repair Disk - it wants me to run OSX installation disk and select such option from there.

The problem is - DVD drive doesn't seem to be working here. I haven't used it in years, so I had no clue.

Any ideas how I can repair disk?