Question

find a positive number which when increased by 11 is equal to 60 times the reciprocal of the number

Answer 1

let the positive no. be 'x'
now according to ques

x+11=60(1/x)
x+11 - 60/x=0

x²+11x-60=0
x²+12x-5x-60=0
x(x+12)-5(x+12)=0
(x+12)(x-5)=0

on putting x+12=0
we get x=-12
on putting x-5=0
we get x=5
since x was a +ve no
therefore x=5 Is the required no