did you try putting either ram module into both sockets with the other out?

obviously the laptop needs to be off, unplugged, battery out when you swap the ram and yes, boot it up to test after you place module 1 in socket 1, then same procedure, module 1 in socket 2, etc for module 2 in sockets 1 and 2.

depending on age if its mobo or cpu you might as well buy a new one.