Show that the two values are the roots of the equation

MATHEMATICS · Subjective · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

Show that the two values

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

are the roots of the equation

ax^2 + bx + c = 0

, where

a

b

, and

c

are constants, and

a

and

c

are nonzero.