Problem

For each of the following quadratic equations, find the discriminant

\Delta

in simplest form. Hence find the values of

m

for which the equation has: i a repeated root ii two distinct real roots iii no real roots. a. a

x^2 + 4x + m = 0

b. b

mx^2 + 3x + 2 = 0

m \neq 0

c. c

mx^2 - 3x + 1 = 0

m \neq 0