1.

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

Answer»

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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