Find the sum of all possible positive integer values of b such that the quadratic equation 2x^2 + 15x + b = 0 has rational roots.
Discriminant of Quadratic Formula
\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)
b^2 - 4ac >=0
15^2 - 4(2)(b) >= 0
225 >= 8b
28.125 >= b sum = 28 + 27 + 26.......1 = 406 for positive integers