Question

the sum of natural number and its reciprocal is 37/6 find the number ​

Answer 1

Step-by-step explanation:

let x be the natural number

then according to question

x+(1/x)=37/6

=>x^2+1/x=37/6

=>x^2+1=37x/6

=>x^2-(37x/6)+1=0

multiplying by 6 we get

=>6(x^2)-37x+6=0

solving this by the formula

as 1/12 is not a natural no..we will take 6 which is the appropriate answer as the required one

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