why is calculator giving in absolute form?

Discussion in 'Math' started by PG1995, Nov 20, 2011.

  1. PG1995

    Thread Starter Active Member

    Apr 15, 2011
    753
    5
    Hi

    Please have a look on the attachment. Could you please tell me why the calculator is giving the answer (arrow points to the answer under discussion) in absolute form? (x^2 - a^2)^2 would always be a +ve number by definition, so in my opinion there was no need to use absolute form. Please help me. Thanks.

    Regards
    PG
     
  2. Georacer

    Moderator

    Nov 25, 2009
    5,142
    1,266
    Conventional math requires that the value under a square root and its result are positive numbers.

    For example:
    \sqrt{(-5)^2}=|-5|=5

    and in general:
    \sqrt{x^2}=|x|
     
  3. RiJoRI

    Well-Known Member

    Aug 15, 2007
    536
    26
    Could it be that what is seen as || should actually be ( ) ?? (Look at the formula above the red-arrow one.

    --Rich
     
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