Not totally sure about this one......!!!
To have two positive real roots, -( 2q - 9) / q must be > 0 and (q - 8) / q must be > 0
-(2q - 9) / q > 0 (q - 8) / q > 0
9 - 2q > 0 q - 8 > 0
9 > 2q q > 8
q < 9/2
No solutions exist for q since these intervals do not intersect