Question
The sum of a rational number and its reciprocal is 13/6. Find the number
The sum of a rational number and its reciprocal is 13/6. Find the number
Answer: Option B
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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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