OK, I have the same problem with Toshiba Satellite. The laptop lights would go on, then you hear the fan and the CD drive running for 2 seconds then it dies. I found the solution to this problem in other forums and feel that I have to share it with everyone.
1.Unplug AC and remove battery.
2. Hold power button for 1 minute (some claim holding it upside down helps..dont ask me why)
3. Leave laptop for 1 minute
4. Insert battery back into laptop and plug in AC.
5. Turn on
It took me several times before I finally get it to work. Make sure the battery is charged before doing this.
I was so happy when this worked for me. I was so frustrated. I just have to share this with everyone else.