The sum of a number and it's reciprocal is 2 1/30 find the number

Hopefully you are able to clearly see the steps I have taken toward solving this problem in the attachment. In case you have trouble understanding what a reciprocal is, the reciprocal of a number is simply the number flipped. So, if you are given 1/2 and asked what the reciprocal is, it would be 2/1, or just 2. That being said, if you are given a whole number, simply remember that a whole number is ALWAYS equal to itself over one. So, in this case, the "sum of a number and its reciprocal" would be n + 1/n