|So if I am right in guessing, you were on your laptop doing homework when it shut down, you took out the battery and when you plugged it in the screen wont work anymore...|
Is there any indication that the latpop is doing anything when you are turning it on? Does the hard disk spin up and start getting IO access? Do you hear any of the windows startup sounds?
Also: This may seem obvious, have you plugged the laptop in? It may have powered down because of a low battery and does not have enough to power up again?