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MathNet 2018-part-03 — 181 problems (EN–VI) Question 109

Math Olympiad Vault · MathNet 2018-part-03 — 181 problems (EN–VI)

Question 109

Show that for every natural number $n$ there exist natural numbers $x$ and $y$ such that $2(n-x y)=x(x+1)+y(y+3)$.