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This is definitely reparable. It will just boil down to cost, so the real question is: Will this be cost effective? The answer is... probably. It's tough to say for sure without getting inside the TV (let me know if you want to), but the good news is that some hands on diagnostics wouldn't run you more than $50-$75 (in my area) and most of that would be put toward the repair labor should you decide to have it repaired.
Things like this can be caused by a couple different things. Namely... the power supply, the main board, or the LCD panel (the screen). The power supply and the main board would normally be cost effective to repair, and these are the most common issues. The panel would be far too expensive to consider replacing but that would also be much more rare, so the odds are on your side. Again, though, we won't know for sure until the technician gets inside to have a closer look.
If you'd like, feel free to post back here with the technician's findings and the repair estimate. I'd be happy to let you know what I think. You can find a good technician at www.tvrepairpros.com. Just go there and enter your zip code, they have a pretty thorough listing.