Is that the best you can do? Do you know how many different Inspiron models there are? And what is Windows 64? Is it XP, Vista, Win7 or Win8? I'm guessing Vista but you wouldn't be the 1st to post in the wrong forum.
"My computer goes into energy safe mode as soon as I turn it on"
Your computer is NOT going into "energy safe mode", your monitor is. And it's doing so because it isn't receiving a video signal from the tower. You have a hardware problem NOT a software problem. You already know the monitor is good so the problem is obviously with something inside the tower.
"I do not here a beep"
There you go. You should hear a beep (or beeps). The fact that you hear none most likely means something major has failed - CPU, motherboard, or power supply. We can't tell you which one is causing the problem, you need to troubleshoot. Does your system have diagnostics LEDs?