What is the sum of all possible solutions to |x - 2|^2 + |x - 2| = 20 ?	Answers: A) -1 B) 6 C) 7 D) 8 E) 14
Denote |x - 2| as y: y^2 + y = 20 --&gt; y = -5 or y = 4. Discard the first solution since y = |x - 2|, so it's an absolute value and thus cannot be negative.   y = |x - 2| = 4 --&gt; x = 6 or x = -2. The sum = 8   Answer: 8.
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What is the sum of all possible solutions to |x - 2|^2 + |x - 2| = 20 ?