Question

The sum of an number and its reciprocal is 145/12 . Find the number
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Answer 1

Answer:

let the number is 'x'

According to question

x+1/x=145/12

x^2+1/x=145/12

12x^2+12=145x

12x^2-145x+12=0

12x^2-144x-x+12=0

12x(x-12)-1(x-12)=0

(12x-1)(x-12)=0

x=1/12 ; 12