3 bleeps when i boot up acer aspire 9300

I also had exactly the same problem, but today after two weeks of turning the thing on and off, it actually booted. So i have no idea what it is, but i am trying to figure it out now! will keep you informed, if you still have it that is!

Service guide states that it is searching for option ROMs, and that it is a checksum failure.

In order to understand what a checksum error is, it is important that you first learn what a checksum is. A checksum is a redundancy check during the startup process of a computer, which makes sure that a computer's data is intact. The data is scanned and tested for accuracy, either based on how well it relates to data elsewhere or based on previous data that was stored on the same computer. Essentially, all of the bits of data in a particular document or file are added up and a number or hash is created. This number or hash can then be compared to the number or hash generated from the same file on another person's computer or at a previous time on the same computer.

Although a checksum error can occur at any time while a computer is comparing data, it is most commonly present during a computer's startup procedure. During the startup processes of a computer, the BIOS settings, which are stored in a CMOS memory chip, are computed and then checked against the previous value. If the computed values do not match exactly, the computer warns the user with a checksum error message that the data may have been changed or corrupted between startup cycles. All BIOSes present a different error and therefore will either continue with booting or refuse to boot until the problem is corrected.
Depending on the type and the severity of the error generated, there may be one of a variety of ways to rectify the issue. The most common cause of a checksum error during the startup process is due to a faulty battery which is not providing sufficient power to the motherboard when the computer is off. However, motherboard malfunctions and viruses can also contribute to checksum errors.
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Below is the service manual...


http://tim.id.au/laptops/acer/travelmate%205600%205100%20aspire%209400%207100.pdf

This means that your graphics chip is pootched. Since the graphics card is usually fixed to the motherboard the only way to repair is to take it in for service. Since the service may be ½ the cost of a new laptop it may be best to just purchase a new one.