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## Homework Statement

I want to find x that satisfies ##x-\sqrt{(x+2)^2} = 0##

Using algebric method, I find x = -1

But, x = -1 does not satisfy that equation...

What's wrong with the calculation?

## Homework Equations

(Basic algebra)

## The Attempt at a Solution

##x-\sqrt{(x+2)^2} = 0 \\

x = sqrt{(x+2)^2} ##

By squaring both sides , I\ get

##x^2 = (x+2)^2 \\

x^2 = x^2 + 4x + 4 \\

0 = 4x + 4 \\

x = -1 \\

##

What's wrong with this ?

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