Seems this is pretty common on that model. I'd try this and see what happens.
AMI bios-3 beeps is first 64k Ram.
I just fixed a PC with this issue. I tried 4 sticks of known working RAM and it made no difference. I realised that it could not be RAM. I reset CMOS using the jumper and it made no difference. Eventually, I removed all RAM and started the laptop and naturally got continuous beeping with no RAM fitted. I then inserted one stick of RAM while it was continuously beeping and the MB gave a post beep. It then shut down and rebooted. On reboot it gave notice that it had a corrupt bios and would I like to use the stored backup -Hell yeah! This PC was a gigabyte GA-Z77-HD3 and had a bios backup in its chipset. The PC then booted normally.
Try removing the CMOS battery, unplugging the unit from power, pressing the power button for 30 seconds while the CMOS battery is out and the unit is unplugged, then reinstall the CMOS battery, plug it back in and try to boot.