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MathNet 2022-part-05 — 197 problems (EN–VI) Question 190

Math Olympiad Vault · MathNet 2022-part-05 — 197 problems (EN–VI)

Question 190

Quadratic polynomials $P(x)$ and $Q(x)$ have leading coefficients of $2$ and $-2$, respectively. The graphs of both polynomials pass through the two points $(16, 54)$ and $(20, 53)$. Find $P(0) + Q(0)$.