My brother had asked me to fix his laptop but I'm stumped 
It's a 3y old (3y warranty expired 2 weeks ago, wouldn't you know!) Dell Studio 1745 and the symptoms are:
when you open the screen it should boot up but over the last week or so it has become unreliable - sometimes you'd see the BIOS then it would shut down. It might take 3 or 4 attempts to get it to actually boot into Windows;
it now does not even seem to power up - you plug the PSU in (which would appear to be OK as the blue ring around the laptop plug is alight) a small light next to the power socket on the laptop flashes white three times but nothing else. I can't hear the HDD or any fans firing up, no activity at all. This happens whether the battery is installed or not.
I've googled the symptoms but get confusing results from "reseat the CPU" to "replace the battery"!
On the battery front, it appears to have some LEDs on the underneath of the battery which I would have thought would indicate charge state but these never appear to light up.
Any ideas?

It's a 3y old (3y warranty expired 2 weeks ago, wouldn't you know!) Dell Studio 1745 and the symptoms are:
when you open the screen it should boot up but over the last week or so it has become unreliable - sometimes you'd see the BIOS then it would shut down. It might take 3 or 4 attempts to get it to actually boot into Windows;
it now does not even seem to power up - you plug the PSU in (which would appear to be OK as the blue ring around the laptop plug is alight) a small light next to the power socket on the laptop flashes white three times but nothing else. I can't hear the HDD or any fans firing up, no activity at all. This happens whether the battery is installed or not.
I've googled the symptoms but get confusing results from "reseat the CPU" to "replace the battery"!
On the battery front, it appears to have some LEDs on the underneath of the battery which I would have thought would indicate charge state but these never appear to light up.
Any ideas?