What is the sum of all possible solutions to |x - 5|^2 + |x - 5| = 20 ?	Choose the correct choice from the following
A) - 1
B) 6
C) 7
D) 10
E) 14

Rationale: "denote | x - 5 | as y : y ^ 2 + y = 20 - - > y = - 5 or y = 4 . discard the first solution since y = | x - 5 | , so it ' s an absolute value and thus can not be negative . y = | x - 5 | = 4 - - > x = 9 or x = - 1 . the sum = 10 answer : d ."
Answer: D