AHSME 1962 Problem 21

It is given that one root of $2x^2 + rx + s = 0$, with $r$ and $s$ real numbers, is $3+2i (i = \sqrt{-1})$. The value of $s$ is: $\textbf{(A)}\ \text{undetermined} \textbf{(B)}\ 5 \textbf{(C)}\ 6 \textbf{(D)}\ -13 \textbf{(E)}\ 26$