The sum of a rational number and its reciprocal is 13/6. Find the number. Choose the correct answer
A) 4/3 or 3/4
B) 0
C) 1/3 or 3
D) 2/3 or 3/2
E) 2
Let the number be x.   Then, x + (1/x) = 13/6 =&gt; (x2 + 1)/x = 13/6 =&gt; 6x2 – 13x + 6 = 0   =&gt; 6x2 – 9x – 4x + 6 = 0 =&gt; (3x – 2) (2x – 3) = 0   	x = 2/3 or x = 3/2   Hence the required number is 2/3 or 3/2.   Answer is 2/3 or 3/2.
<result>D</result>
The sum of a rational number and its reciprocal is 13/6. Find the number.