OK. Open task scheduler and double click on your particular task.
In the properties window that opens up, under "Security Options", click on "Change User or Group" (With an earlier version of Windows, it might be "Run as").
In the empty box with the blinking cursor ("Enter object...."), type "SYSTEM" (without the quotes). Then click on "Check Names", it'll show NTAuthority/System. Click OK, OK.
I also have "Run whether user is logged on or not" and "Run with the highest privileges" selected.