MathDB
Maximum value of sum of roots

Source: 2015 AMC 12B Problem 12, 10B Problem 14

February 26, 2015
algebrapolynomialVietaAMC

Problem Statement

Let aa, bb, and cc be three distinct one-digit numbers. What is the maximum value of the sum of the roots of the equation (x−a)(x−b)+(x−b)(x−c)=0(x-a)(x-b)+(x-b)(x-c)=0?
(A) 15(B) 15.5(C) 16(D) 16.5(E) 17 \textbf {(A) } 15 \qquad \textbf {(B) } 15.5 \qquad \textbf {(C) } 16 \qquad \textbf {(D) } 16.5 \qquad \textbf {(E) } 17
Back to ProblemsView on AoPS