Mathematics

Problem

For the quadratic equation

kx^{2}+4x+1=0

(k\neq 0)

, answer the following. a. (i) Find the set of all real values of

k

for which the equation has two distinct real roots. b. (ii) Determine the value of

k

for which the equation has equal real roots. c. (iii) Find the set of all real values of

k

for which the equation has no real roots.