Negative factors and roots

In most of the practice questions it’s stated that the negative should be considered, but in an earlier video, you were answering a students query and said that ‘they probably taught you the ± thing in your high school (South Asia) but the GRE isn’t concerned with the negative.’

So just wanted to confirm which cases it is or isn’t considered in.

Kindly refer to Quant: Query regarding when to consider both +ve and -ve solutions and when only +ve - #2 by cylverixxx