First let me say that the monitor DOES work on

Many people use a vacuum on their computers, and I always advise against it. A vacuum creates Static electricity. Static electricity, will silently fry out your delicate computer components. You may not see it or feel it.

To prove the vacuum/static statement, hold the wand tool above your head. Hold the plastic body of the wand tool, about an inch away from your hair. Hold the opening of the wand tool away from your head, so that there is no chance of a vacuum sucking your hair up. Now turn on, or have someone else turn on, the vacuum cleaner. Your hair will raise up. That is static electricity that does this.

Now you get to troubleshoot your computer, and see which hardware component may have failed.
Plus it makes it real tough that you do not have Integrated Graphics. (Also called On-Board)
You didn't have THE drivers for those graphics cards, so they weren't going to work, or work very well.

However, due to experience, I believe it comes down to the motherboard, ram memory, or the processor. I am leaning hard towards the processor, because it is the most susceptible hardware component, inside a computer for static shock. It will fry out in a New York minute!

Perhaps start with using one ram module, (Stick), that you know is good. Remove all the other ram modules, and insert this one known good one. It won't be one that is in the computer now. Make sure it is compatible with your computer.

Now, perhaps try the processor in another computer that operates. Make sure this processor is compatible with that computer.

Remove the harddrive, insert it in an external enclosure, set it as a Slave drive with it's jumper/s. External enclosures are cheap. They use a USB cable. You just plug it into another computers USB port. Go to Start>My Computer>and click on the Drive letter for the harddrive. (Example: Drive (F:)

If the harddrive checks out, the processor checks out, and you have used a known, compatible good stick of ram, then I suggest it's the motherboard. One or more chipsets, on the motherboard are fried out.