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OSN Indonesia 2014

This is one of the problems in Indonesian National Science Olympiad.

$$m$$ and $$n$$ is positive integers such that the equations $$x+y^{2}=m$$ and $$x^{2}+y=n$$ have exactly one integral solution $$(x,y)$$. Determine all posible values of $$m-n$$.

Note by Dewita Sonya
2 years ago