Consider the quadratic equation

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

4x^2 + px + 9 = 0

. (a) Derive the condition on

p

for which the equation has equal real roots. (b) Find the value(s) of

p

that satisfy this condition. (c) For each value of

p

obtained in part (b), determine the common root of the equation.