Join the USAMO Guide Discord Server. Regular updates are posted there!
From module Vieta's Formulas
Let aaa, bbb, and ccc 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(x−a)(x−b)+(x−b)(x−c)=0 ?
← Back to all problems