The sum of all solutions for x in the equation x^2 – 4x + 14 = |x – 4|+ 8 is equal to:	Select the correct option.
A) –7
B) 8
C) 10
D) 12
E) 14
x^2 - 4x + 6 = |x-4|   RHS can be -ve or +ve   x^2 - 5x + 10 = 0   x^2 - 3x + 2 = 0   x= 5,2,1   We test all 3 values in original equation, all ok.   Thus, Sum = 5 + 2 +1= 
<gadget id="calculator">5 + 2 +1</gadget>
<output>8</output>
8   Ans (8)
<result>B</result>
The sum of all solutions for x in the equation x^2 – 4x + 14 = |x – 4|+ 8 is equal to: