A whole number is multipled by 5 and added to 3 times its reciprocal to give a sum of 16. What is the number

Answer 1

5x + 3/x = 16
5x^2-16x+3 = 0
(5x-1)(x-3) = 0
x=3
check: 3*5 + 3/3 = 15+1 = 16