"Can't a black person achieve something without being torn down by you losers"?
Sadly, the answer is mostly no, at least as things stand at present.
If a black person is, say, a member of Mensa [just an example, gang, I'm not a Mensa fan], you know that s/he got in on merit (to the extent that an IQ score qualifies as "merit").
But if s/he is accepted to an Ivy League undergraduate school, or a high-level professional school, the assumption--I'm very sad (for personal reasons) to say it--will be that s/he was accepted for reasons of race. And that assumption will, with only a few exceptions, be correct.
The sad thing is that the exceptions--and there *are* some, including my black classmate who was the smartest undergrad at my Ivy--will almost always bear the affirmative-action taint.
The presumption of someone's getting an in-by-skin admission, by the way, will be made not just by whites, but by people of color as well.