As a general rule, registering with "Acer Standard Registration" is simply putting your computer under Acer's warranty for operation and/or repair if needed; registration almost certainly has nothing to do unlocking your password.
First, without sounding critical, if you didn't set the bio-protection, who did? Or, who had access to your computer that could have set the biometric fingerprint sensor? That person could/should be able to unlock it.
Assuming you've used the computer (and not someone else) and you're not the second register of the computer, you could try contacting Acer at their website and explain your problem and see if they can answer your question.
If the laptop is not originally yours, and the biometric sensor was set by a previous owner, that should solve your problem, having the previous owner "unlock" the system.
If the laptop is not originally yours and you don't know who the previous owner is, there's a good chance that you cannot access the informtion. You could take the laptop to a computer repair outlet that does hard drive repairs, however that is usually not cheap and you might pay for them for an evaluation and find that they cannot unlock the system.
And, there's a chance that you will not be able to reformat the disk; the protection might not allow you to reformat it. Again, you might need to bring it to a computer shop and have them reformat it (or, possibly, install a new hard drive in order to use the computer).