A sum of a number and it's reciprocal is 2 1/30 (mixed fraction) determine the number?

I have tried solving it with no luck. I get stuck on the part of completing the square. Please help me
Thank you

1 answer

n + 1/n = 61/30

n^2 + 1 = 61/30 n

n^2 - 61/30 n + 1 = 0

use the quadratic formula to find n