MathDB

Funny Quadratics

Source: 2022 AIME I #1

February 9, 2022

AMCAIMEAIME Iquadratics

Problem Statement

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)}