1995 AIME Problem 5

For certain real values of a, b, c, and d_{}, the equation x^4+ax^3+bx^2+cx+d=0 has four non-real roots. The product of two of these roots is 13+i and the sum of the other two roots is 3+4i, where i=\sqrt{-1}. Find b.

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.