For the quadratic equation

MATHEMATICS · Single correct · AoPS · Mathematics · Quadratic Equations - Part 1 · Quadratic Equations - Part 1

Problem

For the quadratic equation ax2+bx+c=0ax^{2}+bx+c=0, the sum of the roots is equal to the product of the roots. Which relation among a, b, ca,\,b,\,c must be satisfied? (a) b−c=0b-c=0 (b) a+b+c=0a+b+c=0 (c) b+c=0b+c=0 (d) ab+c=0ab+c=0

Related theory

Browse the problem library