72nd Problem 2016

Algebra Level 3

Find the sum of all the roots of the following equation:

$$\LARGE { x }^{ 2 }-222x+2500=-20$$

Write the sum in the form of a simplified fraction $$\frac { a }{ b }$$

[If the sum is 2, write it as $$\frac { 2 }{ 1 }$$]

[If the sum is $$\frac { 4 }{ 2 }$$, write it as $$\frac { 2 }{ 1 }$$]