My computer wont turn on anymore

I was working on my computer, when the screen suddenly started flashing on and off, sometimes slow, sometimes fast until it finally turned off.  I tried charging it even though I am sure it was charged fully when this happened, I tried to turn it on again but it won't turn on.

I just got this computer 5 days ago for my birthday, it is an Inspiron 7568 2-in-1 Dell computer(new).

Can this problem be fixed, or should I return it and get a new computer?