First thing you should do is take a flashlight and shine it close to the screen to ensure the screen is in fact black and not just a back light failure. When the back light fails the screen can appear to be back, but is in fact just no longer LIT.
If it is this, you need to replace the backlight/inverter or screen it self. This is not for users who are not used to laptop repair. If you use the laptop at home, it may be a better option to just connect it upto a normal monitor and use it as a desktop.
Now if you are indeed BLACK, you can have any number of failures(memory/cpu/board/screen it self).
You may be able to test the laptop with another screen the same way. Try the NF key combination to try to alternate displays to see if the external screen comes on or not.
It is a bit hard to pin down the problem over the internet.