Hello and welcome to justanswer. My name is***** will be assisting you today. I am sorry to hear that you are having such trouble. I will try my best to help you.
Regarding your question of replacing motherboard Yes replacing motherboard is expensive and it will cost almost the same price of new laptop but there are some chip level repair techs who may be able to fix it without replacing the motherboard fully but before going to all of that i need to know whether you have tried a battery reset to see it can be fixed.
What is the make and model of the laptop?
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Thank you for the details.
Well do you know whether the battery on the bottom of the laptop can be removed or not,if it can be removed you can try a battery reset.To do that please follow the instruction.
Make sure the the laptop completely off and disconnect the power adapter/charger. Remove the battery and press and hold the power button for about 60 seconds. Releases the button do not insert the battery back now plug the adapter back and turn on the computer. See if the problem persists.
Some of the models doesn't have user removable battery in that case look for a battery reset pin hole which usually on the bottom of the laptop or in the left or right side of the laptop.If you see one do the following
Make sure the the laptop completely off and disconnect the power adapter/charger.Then use a paper clip to press into the reset hole gently for 30 seconds then release and try to power up it.
In some models neither of these options are there,in such case simply remove the power adapter/charger then press and hold the power button for 60 seconds and release the power button and check it.
If none of the above works then it needed to be checked by a chip level technicians who can check the motherboard section by section so that he can identify the problem,in some cases simple servicing or replacing of minor components can fix it which wont cost much.The problem is finding a chip level technicians which most of the retailers don't have such technicians but you can ask any of your friends who are in IT or computer field they may be able to find one for you.If that tech also says to replace the motherboard then scrap it.
I hope you are clear now,if you have any doubts please let me know.
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I apologize for the delay in getting back to you.
You do not need to buy a battery or anything if the reset didn't fix.
If battery reset isn't working then 2 things you can check,see if there is any light indicator on the power adapter (some models have it) if so it will lit up when you plug in the power adapter.
If there is no light indicator on the adapter then there is definitely a power/charging light on the laptop see if it lit up when the adapter is connected and on.In that way you can make sure the power adapter is working and sending power to the laptop also you do not need a battery to power up laptop which means only by connecting the power adapter you can power up the laptop.
Chances of disconnect between power adapter and battery are slim but again without opening the laptop we cannot know that too. When it comes to opening and checking the port and board It is better to check it by a chip level tech.
Sorry if i confused you, when i say chip level technician it only means a person who have advanced knowledge in electronic components especially computer electronic components in a motherboard,power supply board etc.Not sure why you couldn't find it when you googled it also you could simply ask me what it meant i could have explained it.If you are remote area then i am not sure whether there is any techs with such knowledge but you can ask Office Depot people but again they may not give you the contact details if they are interested in getting that laptop for a scrap price so trying the reset method might be the only option sorry about that.
Once again i apologize for using technical term.