Rational roots means the discriminant of the quadratic formula is >= 0
15^2 - 4(2)(b) >= 0
225/ 8 >= b
28.125 >= b
As alan correctly points out below ..... this will give some irrational numbers
The values between 1 and 28 that give RATIONAL numbers would be
0 1 4 9 16 and 25 I believe .... add 'em up
~ EP