SOLUTION: |z+8|=|z-3| The answer is shown in the book as -5/2. For whatever reason, I just can't figure it out & tie into it! Maybe it is because I have been too many of them today! Pl

Algebra ->  Absolute-value -> SOLUTION: |z+8|=|z-3| The answer is shown in the book as -5/2. For whatever reason, I just can't figure it out & tie into it! Maybe it is because I have been too many of them today! Pl      Log On


   



Question 405078: |z+8|=|z-3|
The answer is shown in the book as -5/2. For whatever reason, I just can't figure it out & tie into it! Maybe it is because I have been too many of them today! Please help.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
|z+8|=|z-3|
Case 1
z + 8 = z - 3
8 = -3 Not a solution
Case 2
z + 8 = -(z-3) = 3 - z
2z + 8 = 3
2z = -5
x = -5/2