The sum of all solutions for x in the equation x^2 – 8x + 21 = |x – 5|+ 4 is equal to:  Answers.
A) –7 B) 7 C) 20 D) 12 E) 14
x^2 - 8x + 17 = |x-5|   RHS can be -ve or +ve   x^2 - 9x + 22 = 0   x^2 - 7x + 12 = 0   x= 11,4,3,2   We test all 3 values in original equation, all ok.   Thus, Sum = 11 + 4 +3 + 2= 
<gadget id="calculator">11 + 4 +3 + 2</gadget>
<output>20</output>
20   Ans (20)
<result>C</result>
The sum of all solutions for x in the equation x^2 – 8x + 21 = |x – 5|+ 4 is equal to: