The sum of all solutions for x in the equation x^2 – 8x + 21 = |x – 5|+ 4 is equal to:
Select
A) – 7  B) 7  C) 20  D) 12  E) 14

Rationale: x ^ 2 - 8 x + 17 = | x - 5 | rhs can be - ve or + ve x ^ 2 - 9 x + 22 = 0 x ^ 2 - 7 x + 12 = 0 x = 11,4 , 3,2 we test all 3 values in original equation , all ok . thus , sum = 11 + 4 + 3 + 2 = 20 ans ( c )
Answer: C