Find the product of all positive integer values of c such that 3x^2+7x+c=0 has two real roots.
3x^2 + 7x + c = 0
If this has 2 real roots, the discriminant [ 7^2 - 4(3)c ] is > 0
So
49 - 12c > 0
49 > 12c
49/12 > c means the same thing as
c < 49/12
c < 4 + 1/12
And since c must be a positive integer value then the possibilities for c are given by
0 < c < 4 + 1/12
So....c = 1, 2, 3, 4
And the product of these = 24