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1969 AMC 12 Question 5

AMC12 · 1969 AMC 12

Question 5

If a number $N,$ $N\ne0,$ 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:
  1. $\dfrac1R$
  2. $R$
  3. $4$
  4. $\dfrac14$
  5. $-R$