How Can I Fix - Computer doesn't turn back on after standby, hibernate, shutdown, etc.?

Computer doesn't turn back on after standby, hibernate, shutdown, etc.

This doesn't seem like a windows problem, but it's only happened since I upgraded from xp to 7.
Basically any time I turn the computer off or it enters standby it won't resume right away.
When I press the power button the drive and fan spin up for a couple
seconds before shutting down again.
Nothing appears on the screen.
 
After 15-20 minutes the problem disappears and the computer resumes as if nothing happened.
 
Has anyone heard of this happening before?
 
The computer is a Dell Precision M4400 running Windows 7 64bit Ultimate.

Anwsers to the Problem Computer doesn't turn back on after standby, hibernate, shutdown, etc.

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When this happens with my Dell, I attribute it to the system being a bit hot to start up again; the additional time lets the system cool down.
I seldom power down/hibernate, however, so this hasn't been a bother and I haven't had cause to investigate it
much.
Have you checked the BIOS for any settings that may control this behavior?  Also consider updating the BIOS, if you are compelled to do so to attempt to manipulate this issue.
 Perhaps, release notes for any newer BIOS revisions are available, and they may
indicate some kind of fix or similar attention to this type of behavior.

Open Action Center by clicking the Start button Picture of the Start button, clicking Control Panel, and then, under System and Security, clicking Review your computer's status.

Make sure your computer has at least the minimum amount of random access memory (RAM) required to run the program that is displaying the error. Look for the program requirements online or in the packaging information.

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