Uh, okay.
Those burned resistors are used for the dimmer function. The CPU switches on a transistor, which in turn switches each resistor on, or off. More resistors switched in, more bulb current, brighter backlight.
Until someone replaces the display lamps with types that draw more current than the wimpy little original bulbs.
Now, the additional current draw will overheat those resistors. They are in series with the backlight lamps.
Once those resistors burn up, the immediate area of the circuit board around them will usually be damaged as well.
The board where they are mounted is a double-sided printed circuit. In every hole, there is a metal sleeve that connects the foil on one side of the hole to the foil on the opposite side. These are called "PTH" or "Plate-Through Holes". The tiny metal sleeve will usually come out of the board, still stuck to the lead wires of the burned resistors, when they are removed.
Losing the plate-through sleeve breaks part of the dimmer circuit, killing two or more of the "dim" steps
In addition, sometimes one or both of the transistors used to switch the resistors will also fail from the abuse.
Somebody really ought to put together a super-high-bright LED kit for those displays, to replace the original lamps. Once.
The original bulbs pulled only a fraction of the current that a normal "meter" lamp meant for a mobile radio's S-meter will pull.
But that's what people can get, so that's what gets installed in the LCD backlight when the factory lamps die.
If the display board is too damaged, you may be stuck with hooking new lamps directly to the main 13.8 Volt power, and kissing off the dimmer function. Depends on how much of the display board has been carbonized and crumbled away.
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