For the quadratic equation

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

Problem

x^{2}+(2k+1)x+k(k-3)=0

, determine the value(s) of

k

for which the equation has equal real roots. Show all working. (i) Express the discriminant in terms of

k

. (ii) Hence find the required value(s) of

k