Hmm... He said x2 = 4.
Essentially, it is y = x2 where y = 4. If you graph y = x2, there are two places where y=4, as you said - 2 and -2. So, technically, he is incorrect there for that particular question.
If, on the other hand, he said x = 41/2, then he may have a case there. Didn't read...