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Question

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



Options:
A .  2/1 or 3/1
B .  2/3 or 3/2
C .  3/3 or 2/2
D .  4/3 or 3/1
Answer: Option B

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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