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

User Ashwani Garg
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1 Answer

3 votes
suppose the number is x, its reciprocal is 1/x
x+1/x=13/6
(x^2+1)/x=13/6
6(x^2+1)=13x
6x^2-13x+6=0
(3x-2)(2x-3)=0
x=2/3 or x=3/2
User Panayiotis Irakleous
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7.4k points
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