Use the quadratic formula to explain why the sum of the solutions to the equation ,

MATHEMATICS · Subjective · AoPS · Mathematics · Quadratic Equations - Part 2 · Quadratic Equations - Part 2

Problem

Use the quadratic formula to explain why the sum of the solutions to the equation

ax^2 + bx + c = 0

a \neq 0

, is always

-\frac{b}{a}