IMO 1995 — Shortlisted problems Question 16

N2 (RUS). Let $\mathbb Z$ denote the set of all integers. Prove that for any integers $A$ and $B$, one can find an integer $C$ for which $M_1=\{x^2+Ax+B:x\in\mathbb Z\}$ and $M_2=\{2x^2+2x+C:x\in\mathbb Z\}$ do not intersect.