Consider the quadratic equation

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

Problem

3x^{2}+kx+2=0

, where

k

is a real parameter. (i) Write an expression for the discriminant of the equation in terms of

k

. (ii) Determine the range of real values of

k

for which the equation has no real roots. (iii) Hence find the least integer value of

k

that satisfies the condition obtained in part (ii).