For the quadratic equation

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

Problem

(3a-1)x^2 + 2(2a+1)x + (a-4) = 0

a

is a real parameter. (i) Write the discriminant

D

in terms of

a

. (ii) Determine all real values of

a

for which the equation has equal real roots. (iii) For the value(s) of

a

obtained in part (ii), find the repeated root of the equation.