The sum of all solutions for x in the equation x^2 – 8x + 21 = |x – 4|+ 3 is equal to: Answers:
A) –7
B) 7
C) 20
D) 12
E) 14
x^2 - 8x + 18 = |x-4|   RHS can be -ve or +ve   x^2 - 9x + 22 = 0   x^2 - 7x + 14 = 0   x= 11,7,2   We test all 3 values in original equation, all ok.   Thus, Sum = 11 + 7 +2= 
<gadget id="calculator">11 + 7 +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 – 4|+ 3 is equal to: