If f(x) = |x|, for what value of x does f(x-2) = f(x+2)?

Question

myininaya · Answer

|x-2|=|x+2| 
It is asking you to solve this.

parthkohli · Answer

@CLester13 So, do you have a better way to say, "f(x - 2) = f(x + 2)"?

parthkohli · Answer

What myin said. ^

parthkohli · Answer

If you think like a philosopher, |-something| = |something| right?

parthkohli · Answer

Or, |-something| = |-something|
or |something| = |something|

Which leaves JUST ONE POSSIBILITY:

x - 2 is the opposite of x + 2, right?

parthkohli · Answer

@CLester13: Hullo.

parthkohli · Answer

Okay, answer this thing when you come online:

How do you represent this sentence - "the opposite of x + 2"?

anonymous · Answer

x-2

myininaya · Answer

I would square both sides of |x-2|=|x+2| so I wouldn't need to worry about the absolute value.
So perhaps you know how to solve this:
$$(x-2)^2=(x+2)^2$$
Hint: Expand both sides. You will be in for a real treat.

parthkohli · Answer

That's a really cool way. :)