For certain real values of a, b, c, and d, the equation x^{4}+a x^{3}+b x^{2}+c x+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+4 i, where i=\sqrt{-1}. Find b.
For certain real values of a, b, c, and d, the equation x^{4}+a x^{3}+b x^{2}+c x+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+4 i, where i=\sqrt{-1}. Find b.