The sum of a rational number and its reciprocal is 13/6. Find the number.
A
2
B
3/2
C
4/2
D
5/2
Correct Option:
B
Explanation
Let the rational number be x. From x + 1/x = 13/6, we get 6x² − 13x + 6 = 0, so (3x − 2)(2x − 3) = 0. Thus x = 2/3 or 3/2. Among the options, 3/2 is correct.
