The sum of all solutions for x in the equation x^2 – 8x + 21 = |x – 2|+ 5 is equal to:
The sum of all solutions for x in the equation x^2 – 8x + 21 = |x – 2|+ 5 is equal to:
Answer/Solution
18
Steps/Work
x^2 - 8x + 16 = |x-2|
RHS can be -ve or +ve
x^2 - 9x + 18 = 0
x^2 - 7x + 14 = 0
x= 7,6,3,2
We test all 3 values in original equation, all ok.
Thus, Sum = 7 + 6 +3 + 2= 18
Ans (E)
RHS can be -ve or +ve
x^2 - 9x + 18 = 0
x^2 - 7x + 14 = 0
x= 7,6,3,2
We test all 3 values in original equation, all ok.
Thus, Sum = 7 + 6 +3 + 2= 18
Ans (E)