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buttermequeasy

|x + 2| + 16 = 14 x = −32 and x = −4 x = −4 and x = 0 x = 0 and x = 28 No solution

  • 2 years ago
  • 2 years ago

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  1. amistre64
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    you cant negate an absolute value

    • 2 years ago
  2. buttermequeasy
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    I know.

    • 2 years ago
  3. myininaya
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    \[|something| \neq negative something \]

    • 2 years ago
  4. amistre64
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    | | = -# not good

    • 2 years ago
  5. amistre64
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    sites still going slow

    • 2 years ago
  6. myininaya
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    so what happens when you subtract 16 on both sides don't we have |junk|=negative something?

    • 2 years ago
  7. buttermequeasy
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    ???

    • 2 years ago
  8. becca18
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    |x+2| +16=14 -16 -16 |x+2|=-2 x+2=-2 -2 -2 x=-4 I don't know how you got the second part but that's how i would do the first part

    • 2 years ago
  9. myininaya
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    |x+2|=-2 never happens for any input

    • 2 years ago
  10. myininaya
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    |something| is either positive or neutral

    • 2 years ago
  11. myininaya
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    |something| is never negative

    • 2 years ago
  12. becca18
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    What do you mean? you just drop you absolute value and subtract 2 on both sides to cancel out the 2 on the side with the variable. and only |inside| has to positive..everything outside the | | can be whatever

    • 2 years ago
  13. myininaya
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    we can put anything into | | and the output will either be 0 or positive

    • 2 years ago
  14. myininaya
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    | | represents distance

    • 2 years ago
  15. myininaya
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    distance is either positive or zero

    • 2 years ago
  16. myininaya
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    distance is never negative

    • 2 years ago
  17. becca18
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    | | is called absolute value.. look it up on google.. Are you talking about highschool algebra or college?

    • 2 years ago
  18. myininaya
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    absolute value is the distance of some number to 0

    • 2 years ago
  19. myininaya
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    |-3|=3 |0|=0 |3|=3 |-141441|=141441 look the outputs are never negative

    • 2 years ago
  20. buttermequeasy
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    So the answer is no solution ?

    • 2 years ago
  21. becca18
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    That's what i'm saying.. I didn't put a negative inside the bars i put them on the outside

    • 2 years ago
  22. myininaya
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    butter ask yourself can you ever get a negative output for |something| the answer is no

    • 2 years ago
  23. myininaya
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    |junk| is never negative

    • 2 years ago
  24. myininaya
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    \[|junk| \neq negative something \]

    • 2 years ago
  25. becca18
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    I know that... i didn't make |junk| negative it was still positive

    • 2 years ago
  26. buttermequeasy
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    I know that an absolute value can never be negative!

    • 2 years ago
  27. myininaya
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    then what you know there is no solution

    • 2 years ago
  28. myininaya
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    to this equation you have

    • 2 years ago
  29. buttermequeasy
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    Okay, thank you. Just making sure.

    • 2 years ago
  30. myininaya
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    \[|x+2| \neq -2 \]

    • 2 years ago
  31. becca18
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    see there is no negative except on the OTHERSIDE of the = sign.. and you can do that..

    • 2 years ago
  32. myininaya
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    no you cannot |junk| is never negative

    • 2 years ago
  33. myininaya
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    |x+2|=-2 has no solution

    • 2 years ago
  34. becca18
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    |dw:1318992395252:dw|

    • 2 years ago
  35. myininaya
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    |x+2| is positive or neutral -2 is always negative how could they ever be the same?

    • 2 years ago
  36. becca18
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    they are not the same... that's not a finished equation

    • 2 years ago
  37. myininaya
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    |x+2| will never be the same as -2 for any x

    • 2 years ago
  38. satellite73
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    \[|x-a|\] is the distance from x to a. for example \[|5-8|=3\] because the distance between 5 and 8 is 3. as such, it cannot be negative. so if you ever see \[|x-a|=-3\] for example, go get a snack and forget about trying to solve it. there is no solution to such a thing

    • 2 years ago
  39. becca18
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    I don't understand. but okay.

    • 2 years ago
  40. arathock
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    = means the same...

    • 2 years ago
  41. myininaya
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    yes = means we are looking for when two expressions are the same or meet or intersect

    • 2 years ago
  42. arathock
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    therefore |something|=something else means that even if the equation isn't finished it is still equal and therefore saying that |something|=negative something is wrong

    • 2 years ago
  43. myininaya
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    right |junk| is never negative

    • 2 years ago
  44. arathock
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    you can say |-something|=something or -|something|=negative something or even -|-something|=negative something but you cant say |something|=negative something

    • 2 years ago
  45. amistre64
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    or better yet, lets prove if Beccas result is good? |x+2| +16=14 -16 -16 |x+2|=-2 x+2=-2 -2 -2 x=-4 lets assume x=-4 and use it in our equation. |-4+2| +16=14 |-2| +16=14 2+16=14 18=14 .... this is a contradiction; so x cannot = -4

    • 2 years ago
  46. amistre64
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    we can go even further and try to work this out like it would pop out a good result: |x + 2| +16 = 14 -16 -16 ---------------- |x+2| = -2 (x+2) = -2 or -(x+2) = -2 -2 -2 -x-2 = -2 +2 +2 -------------------------- x = -4 or -x = 0; or simply x=0 these are the only 2 possible solutions we can get from it; and we already tested x=-4 and it failed us. Lets test out x=0 |0 + 2| +16 = 14 |2| +16 = 14 2 +16 = 14 18 = 14 ... another bad result; since x cannot be the only 2 options that would naturally fit; the answer has to be that nothing will fit.

    • 2 years ago
  47. amistre64
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    This is a redimentary proof that: |N| = -# is just plain false

    • 2 years ago
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