I know, they are not even open as to why so many computers are dying. Any sensible company would either offer a generous trade in or provide clear information as to what is going on. There current tactics are reminiscent of slimy politicians. They will probably delete this thread like the others have been as well. Getting rid of the customers that buy your most expensive prosducts is an awesome strategy.

Curious as to the symptoms of this failure.

Does nothing happen at all when powered on?  Not even the sound of the system fan?  Could be a bad power supply and you could try disconnecting it from the mains, press and hold the power button to drain any residual power, and then reconnect (Dell has a history of failed thermal sensors in their power supplies that can be reset temporarily in this manner... but I do not know this to be a common problem with this model).

Are there error messages displayed? 

If no video are there any beep codes produced in a particular pattern.

Have you tried connecting an external monitor via the HDMI Out port (the HDMI further away from the mains connector).

Have you seen the relatively new (November 2) sticky note on this forum re the 2710 not being Windows 10 compatible (which seems odd since you say you upgraded to 10 and it worked).

en.community.dell.com/.../19659298

Same problem has happened to other 2710 users. The upgrade to Win 10 works for a while and then the PC fails. The motherboards used in the 2710 are tied to a specific version of Windows, and other versions may damage the hardware or corrupt the BIOS.

In the USA, Dell Out-of-Warranty Service will fix a system that's LESS than 5 years old for a set price. I don't know if this applies outside the USA, so contact Dell support in your region about out-of-warranty service.

User cwrighty reported that repeated attempts to boot the system eventually worked and he was able to successfully revert to Win 8.1. I don't know if anyone else succeeded this way, quote:

I've recently experienced the same issue and managed to resolve it by (eventually) re-flashing the bios, so hopefully this post might be of use to anyone else who has this problem.

As OP described, my 2710 would also power up, no dell logo, screen would appear to turn on, and then a few seconds later turn off. 

Tried resetting bios, removing memory, hard drive etc. with no luck, however on the very odd occasion after about an hour or two constantly rebooting, holding down the power button when it was on, off, leaving it for a while etc etc, it DID boot into windows!! However, reboot and exactly the same problem. 

Anyway 3 days later, I had managed to get into windows a couple of times times. On the final time I re-flashed the bios A12 and its been working fine all day.

To re-flash the bios I had to run update from command prompt with parameter /forceit so it didn't complain it was already up to date.

So back to Windows 8.1 for the moment. Not great but at least its not a £1500 brick. With regards to Windows 10 is frying the motherboard - I reckon is complete ***, but it/something/ is possibly somehow corrupting the bios??