What is the sum of all real numbers x for which \left|x^{2}-12 x+34\right|=2 ?

**Answer Choices**

A. 12

B. 15

C. 18

D. 21

E. 25

What is the sum of all real numbers x for which \left|x^{2}-12 x+34\right|=2 ?

**Answer Choices**

A. 12

B. 15

C. 18

D. 21

E. 25