Day old laptop with Win 8.1 giving blank screen at Startup

I just bought a HP Laptop. I don't know the exact model number but it has the following configuration :- Intel Core-i5 4210u
1.7Ghz Processor, Nvidia 820M GPU and 4GB RAM. It came preinstalled with Windows 8.1


Now this is my problem :-

Whenever I power-up the laptop by using the power-button, I get the Windows 8 logo and than instead of the login-screen it
gives me a black screen. Its not even a black screen, the display is exactly as it is when the laptop turned off(nothing
at all on the screen). But I know that the laptop is running because the power button and caps-lock key is illuminated.
Now I have discovered that in order to get to the Login Screen, I have to manually close the lid and open it. This however does
not work every time. How can I fix it.

Please someone help me. It is a new laptop and I can't return it because I bought it from a different country.

Try updating your graphics driver
GeForce 820M Dedicated Graphics | GeForce

I'd say use the built in recovery to restore the laptop to it's factory new state (start over). To do that we need the exact, complete model number so we can look at the Users Guide to see how to do this.