I found that the easiest way is to send the computer back to the company you bought it for and demand a replacement -- but if you're past the warranty this may -- or may not -- work for you.
If your LCD screen has a stuck or dead pixel , it's usually malfunctioning because the liquid in the liquid crystal display (TFT LCD) has not covered the whole screen. This can be easily fixed.
The above image is a wallpaper of a broken LCD screen, which I got here and used copiously during university on my rusty old iBook.
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