Question

The sum of a number and its reciprocals is 13/6 Find the number​

Answer 1

Given :-  

The sum of a rational number and its reciprocal is 13/6.  

To Find  :-  

The Number  

Solution :-  

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.

Answer 2

Answer:

2/3 OR 3/2

Step-by-step explanation:

Given :-

The sum of a rational number and its reciprocal is 13/6.

Solution :-

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.

Please mark me as brainliest