Find the integer.

Question

The sum of an integer and its reciprocal is 10/3 find the integer

Answer 1

n = the integer

n + 1/n = 10/3

3n^2 + 3 = 10n

3n^2 - 10n + 3 = 0

Solve for n using the quadratic formula. The integer solution is

n = 3

Test the answer.