f(x) = 3x^2 + 5x + C . Find C if f(x) has two complex roots and C is an integer greater than 1.

Given the quadratic equation
:

f(x) = 3x^2 + 5x + C

We know
that f(x) has two complex roots.

Then the discriminant is
negative.

==> (b^2 - 4ac <
0

a = 3   b= 5   c =
C

==> 25 - 4*3*C <
0

==> 25 - 12C <
0

==> 25 < 12
C

==> 25/12 <
C

==> 2.08 <
C

But we know that C is an integer greater than
1.

==>  C = { 3, 4, 5,
....}