For each of the following quadratic equations

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

For each of the following quadratic equations, find the discriminant

\Delta

in simplest form. Hence, find the values of

m

for which the equation has: (i) a repeated root, (ii) two distinct real roots, and (iii) no real roots. (a)

x^2+4x+m=0

(b)

mx^2+3x+2=0

m\ne0

(c)

mx^2-3x+1=0

m\ne0