Find the product of all positive integer values of c such that 8x^2+15x+c=0 has two real roots.
HELp
8x^2 + 15x + c = 0
Using the discriminant we will have two real roots when
15^2 - 4*8*C > 0
225 - 32C > 0
225 > 32C
225/32 > C
C < 225/32
C < ≈ 7.03
So....
1 ≤ C ≤ 7
So the product of the possible C's = 7! = 5040