Determine the value of "m" that will give the quadratic 3x^2 + 4x + m = 0 :

Question

a) two equal roots
b) no real roots.

Answer 1

For two equal roots, the discriminant has to be zero, ...
b^2 - 4ac = 0
16 - 4(3)(m) = 0
16 = 12m
m = ....

For no real roots, b^2 - 4ac < 0 , so ....