Problem: If a number N,Nî€ =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:
Answer Choices:
A. R1​
B. R
C. 4
D. 41​
E. −R
Solution:
N−4⋅N1​=R∴N2−RN−4=0. Let the values of N satisfying this equation be N1​ and N2​. Therefore, N1​+N2​=R. For example, if R=3, then N1​,N2​ are 4,−1 and the sum of 4 and −1 equals 3 .