study = no fail
no study = fail
Solve by substitution:
no (no fail) = fail
no^2 = fail/fail = 1 OR fail = 0
So no =+/-1 or fail = 0
If fail = 0, then no matter what no is, no fail = 0, so study = 0 and study = fail = 0
If no = 1, then no fail = fail = study
If no = -1, then study and fail are opposites.
There is an error divide by 0 when you try to divide by (1+no), you get an undifined answer.
If you're trying to use the words in anything like their true sense, then you could find that no means the opposite, and therefore is -1 and that study and fail are indeed opposites. If you're not trying to do that, then it could be true.
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