Twice the square of the first subtracted from the square of the second is -167, what are the two integers?
Even if we assume the integers are both positive, there are an infinite number of solutions to this question. The minimal (positive) values are
If the first integer is
We could limit our search by noting that
Unfortunately there are lots of solutions for
are the values that I found for
and all of these satisfy the given conditions.
(...and, yes, I know