Question

The sum of a rational number and
its reciprocal is 13/6 . Find the number. Please solve this question.​

Answer 1

Answer:

2/3 or 3/2

Step-by-step explanation:

Let the number be x.

According to the Question

⇒ x + (1/x) = 13/6  

⇒ (x2 + 1)/x = 13/6  

⇒ 6x2 – 13x + 6 = 0  

⇒ 6x2 – 9x – 4x + 6 = 0  

⇒ (3x – 2) (2x – 3) = 0  

⇒ x = 2/3 or x = 3/2

Hence, the required number is 2/3 or 3/2.