HiBunuel , I followed this method and ended up with the same results but did -2*-1*-3*-2.
Question did not state distinct answers so 12 could be the answer aswell.
x^2 + 4x + 4 = /x + 2 /
Case 1
When x + 2 is positive.
x^2 + 4x + 4 = x + 2
x^2 + 4x + 4 -x - 2 = 0
x^2 + 3x + 2 = 0
x = -2
x = -1
Case 2
When x + 2 is negative.
x^2 + 4x + 4 = -x - 2
x^2 + 5x + 6 = 0
x = -2
x = -3
Substituting the values shows x could be -1, -2, -3
Sum = -6
Answer choiceA
Firstly, the solutions of the equation are -1, -2, and -3. No one would say that the solutions are -1, -3, -2, AND -2 AGAIN.
Also, the method above lacks details to be 100% correct.
In case 1, when x + 2 is positive, it means the range is x > -2. So, you should discard x = -2, which you get for that case because it is not in the range.
In case 2, we should consider the scenario when x + 2 ≤ 0, giving the range x ≤ -2. Both x = -2 and x = -3 are in the range, so both are acceptable.
Thus,
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Statistics : Posted by Bunuel • on 07 Aug 2023, 08:00 • Replies 12 • Views 8084