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How to solve using algebra?

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How to solve using algebra? [#permalink] New post 17 Aug 2003, 09:40
Is there an algebraic way to solve the following:

|x|! = |x|

I can only do it by inspection and realizing that 1,-1,2,-2 work
Can someone walk me thru the algebraic steps if there are any any?

Also, what are the algebraic steps for

||x| - 1| = 1

The | | represent absolute values. (I got these problems from someone elses posts in this board).
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 [#permalink] New post 17 Aug 2003, 10:24
|x|! = |x|
divide both parts by |x|

||x| - 1| = 1
square both parts of let z=|x|
  [#permalink] 17 Aug 2003, 10:24
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