It is possible to fix dead pixels, but I take no responsibilty for any damage to your machine. You may follow my advice only at your own risk. I have fixed all of my laptops with this procedure, but it only works with non reflective screens. I haven't tried this with glossy screens. I was amazed to read somewhere else in these forums that someone else uses exactly the same technique.
1. Slowly rub the area of the screen where the pixel is with light pressure from your finger. This should coax the pixel to work again.
2. Once the pixel is working use a program that rapidly changes the colours of the screen. Leave this on for a few hours. This process gets the pixel out of 'Lazy Mode' and will start to work normally again. You can use a looped Powerpoint presentation (just different coloured slides) to do this, or if your machine runs games, angle the pixel over an area that is displaying running water. This usually works a treat.
If all of the above sounds to scary, someone came up with another suggestion that I haven't tried. Locate the area with the dead pixel and flick the lid of the laptop in the corresponding position. This has worked for one or two people around the forum. Then use step 2 above.