If you have an extended warranty, that's probably the best way to go. However, sending the laptop in, make take some time to get it back. They're about as fast at fixing computers on warranty, as molasses moves in the winter.
S-L-O-W!
The beeps you hear are BIOS Beep Codes. This is the way the computer tells you something is wrong.
(Like, hey there! Yo, my man! Got sumthin' wrong HERE!)
The BIOS Beep Codes are called codes for a reason. I don't know if you know, what Morse code is, but it's similar to that.
You might hear One beep that is short, and Two beeps that are long.
It may be Three short beeps. Just two examples of the many beep codes.
This code of beep's repeats itself.
Three short beeps may mean that you have a problem with your ram memory. Could be a problem with the graphics.
There are Three major BIOS program manufacturers. AMI, Award, and Phoenix. (I believe Phoenix and Award, are one and the same now) Each BIOS manufacturer has their own set of BIOS Beep Codes.
Here is a list,
http://www.pchell.com/hardware/beepcodes.shtml
(All computers are IBM compatible. Ignore the IBM beep codes)
When you turn your computer on, and you just hear One beep, everything is okay. That means your BIOS program has done a memory count, checked all hardware devices installed, and you are good to go. BIOS will now hand the computer over to the Operating System.
(Windows XP and Windows Vista are examples of an Operating System)
There is one issue that plagues a laptop, and is easy to check. A lot of laptops have loose ram module/s, (Stick/s) The ram stick/s get bumped loose in their ram slots. (Stick/s. Typed this way, because it could be one ram stick, or if there are two or more, it could be sticks)
All you do is remove the AC adapter, (Charger), if plugged in, and remove the battery. Turn the laptop over on it's top. Remove the memory compartment cover, and remove the ram stick/s. Reinsert the ram stick/s. Close the memory compartment cover. Insert the battery, and the AC adapter.
Turn the laptop over to it's normal position, turn it on. See if that cures it.