Why No Solution Here?

Discussion in 'Algebra' started by nycmathguy, Jan 7, 2022.

  1. nycmathguy

    nycmathguy

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    Screenshot_20220106-201501_Samsung Notes.jpg
     
    nycmathguy, Jan 7, 2022
    #1
  2. nycmathguy

    MathLover1

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    |x^2+4x|=-12

    it has no solution because absolute value (by definition) cannot be negative, and here we have -12

    so, |x^2+4x|=-12 statement is false
     
    MathLover1, Jan 7, 2022
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  3. nycmathguy

    nycmathguy

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    In another words, you are saying this:

    |expression| = positive is ok.

    |expression| = negative DNE.
     
    nycmathguy, Jan 7, 2022
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  4. nycmathguy

    MathLover1

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    yes, |x^2+4x|=12 have solutions -6, and 2
    [​IMG]
     
    MathLover1, Jan 7, 2022
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  5. nycmathguy

    nycmathguy

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    Ok. This is just a review. Do you know what time it is? It is time to select 3 David Cohen Questions. Enjoy.
     
    Last edited: Jan 7, 2022
    nycmathguy, Jan 7, 2022
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  6. nycmathguy

    Country Boy

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    And |expression|= 0 is ok.
     
    Country Boy, Jan 8, 2022
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  7. nycmathguy

    nycmathguy

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    Ok. I didn't know that. Thanks. Good to know.
     
    nycmathguy, Jan 8, 2022
    #7
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