AHSME 1969 Problem 5

If a number $N,N \ne 0$, diminished by four times its reciprocal, equals a given real constant $R$, then, for this given $R$, the sum of all such possible values of $N$ is $\text{(A) } \frac{1}{R} \text{(B) } R \text{(C) } 4 \text{(D) } \frac{1}{4} \text{(E) } -R$