Question

The sum of a whole number and its reciprocal is 10/3.Find the number.

Answer 1

let the no. be x
then its reciprocal is 1/ x.
A.T.Q,
x+1/x =10/3
=> x^2+1 = 10x/3
=>3x^2+3 = 10x
=> 3x^2-10x+3 = 0
=> 3x^2-x-9x+3 = 0
=> x(3x-1)-3(3x-1) =0
=> (x-3)(3x-1) =0
=> x = 3,1/3