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anonymous

  • one year ago

Help me solve this absolute value equation?

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  1. anonymous
    • one year ago
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    \[2\left| x+2 \right|-1=5\]

  2. anonymous
    • one year ago
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    \[2\left| x+2 \right|=5+1=6\] \[\left| x+2 \right|=\frac{ 6 }{ 2 }=3\] \[x+2=\pm3\] find x

  3. anonymous
    • one year ago
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    x=1

  4. DanJS
    • one year ago
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    yes, remember the abs value can have a + or - value and be true, like the last line above

  5. anonymous
    • one year ago
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    what about the equation \[2\left| x+2 \right|-1=-5\]

  6. anonymous
    • one year ago
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    I got zero but i know that's not the answer

  7. DanJS
    • one year ago
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    --solve for the absolute value quantity.\[\left| something \right| = c\] --set that 'something' equal to + or - c \[something = +c~~~~or~~~~something=-c\]

  8. DanJS
    • one year ago
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    solve both of those for x...

  9. anonymous
    • one year ago
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    would it be -1?

  10. DanJS
    • one year ago
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    you should get 2 answers ,

  11. anonymous
    • one year ago
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    My first answer was x=1, I'm trying to solve the second equation now. I'm unsure of the answer because I know I'm taking the wrong steps

  12. DanJS
    • one year ago
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    that one is a bit different, just looked at it

  13. anonymous
    • one year ago
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    Yes, the second equation is negative

  14. DanJS
    • one year ago
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    The absolute value is greater than or equal to zero, so that one will not have any answers

  15. anonymous
    • one year ago
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    my options for that equation is -1 or -5

  16. DanJS
    • one year ago
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    \[2*\left| x+2 \right|-1=-5\] \[\left| x+2 \right|=-2\] false, no solution

  17. anonymous
    • one year ago
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    @surjithayer

  18. anonymous
    • one year ago
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    x+2=3,find x x+2=-3,find x

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