MathDB
ax^2+bx+c, (c-b)x^2 + (c- a)x +(a + b) - All-Russian MO 2001 Regional (R4) 10.5

Source:

September 26, 2024
algebrapolynomialnumber theorytrinomial

Problem Statement

Given integers aa, b b and cc, c≠bc\ne b. It is known that the square trinomials ax2+bx+cax^2 + bx + c and (c−b)x2+(c−a)x+(a+b)(c-b)x^2 + (c- a)x + (a + b) have a common root (not necessarily integer). Prove that a+b+2ca+b+2c is divisible by 33.
Back to ProblemsView on AoPS