1955 AHSME Problem 18

The discriminant of the equation x^2+2x\sqrt{3}+3=0 is zero. Hence, its roots are:

\begin{array}{l} \textbf{(A)}\ \text{real and equal}\qquad\textbf{(B)}\ \text{rational and equal}\qquad\textbf{(C)}\ \text{rational and unequal}\\ \textbf{(D)}\ \text{irrational and unequal}\qquad\textbf{(E)}\ \text{imaginary} \end{array}

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