Question

Sum of a number and its reciprocal is 13/6.Find the number

Answer 1

HERE IS UR ANS:

Question: sum of rational numbers n its reciprocal..

Let the number be x.

Then

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.

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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.

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