check your power supply.
next check your heat sink for mass amounts of dust and other junk cluttering the fins. if your fins are full, your cpu may very well be fried.
if you have a graphics card, check that by taking it out and using on board video if available.
your thermal paste may have hardened up and fallen off or crumbeled away, this would cause your cpu to run very hot.
the good news is, you now have a reason to upgrade from a dual core 😀