I wrote this post on another thread but I think it should be here too...
I bought a lenovo G710 with intel HD 4600 + Nvidia Geforce 720M combo, when I installed windows 8.1 everything was fine but after I applied all windows updates I got the Infamous Black Screen of Death,
Anyway, after deep search in Google I found that windows update KB2903939 is causing this issue,
I removed the update and everything started to work, no more Black Screen and latest Intel Driver works great.
This is the link to the forum which I found the answer:
http://answers.microsoft.com/en-us/windows/forum/windows8_1-windows_update/kb2903939-causing-black-screen-with-windows-81/b182f8f1-e7da-471f-ab4a-d5ea0f52cade
Please let me know if it helped you,
Thanks.