If the two numbers sum to 19, they can be written as x and (19-x).
x (19-x) = 96
19x - x^2 = 96
x^2 - 19x + 96 = 0
This equation describes a parabola that opens upward and whose vertex is (9.5, 5.75). The function never crosses the x-axis. If you apply the quadratic formula, the discriminant (the part under the radical) is negative. There is no value of x that will make this equation work.
