I need help on this problem how do you solve this absolute value?
|z| + 4 = 9 how do we solve this
When solving an absolute value problem, I would isolate the absolute value until you get a form like
|z| = some number
In this case this would invole subtracting 4 from both sides
|z| + 4 - 4 = 9 - 4 ==> |z| = 5
Now that we are here you have to remember that the absolute value is both the positive and negative value. So:
|z| = 5 ==> z = 5 and z = -5
When you have an absolute value you need to solve the positive case and the negative case.
So |z| + 4 = 9 -> |z| = 5. (subtract 4 from both sides)
In the case z is negative –z=5, in the positive case z=5. So z = -5 or 5