A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

For what value(s) of x is √(– x)^2 = –| x |? A. x ≤ 0 B. x = 0 only C. x ≥ 0 D. no values of x

  • This Question is Closed
  1. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    B.

  2. radar
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Interesting...... my take is D.

  3. radar
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    But I am not sure. The right hand side -|x| will always be negative. The left hand side will be positive unless we are recognizing the negative root (which I am willing to do).

  4. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\sqrt{-(0)^2}=-|0| \text{ is true}\]

  5. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I agree with B

  6. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Told you :)

  7. radar
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Lets do a trial. Let x=-1, then \[\sqrt{(-(-1))^{2}}=-|-x|\]\[\pm1=-1\] I guess this is not totally true. Forget d

  8. radar
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    but I can't forget it entirely lol

  9. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    radar is definitely works for x=0

  10. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    it*

  11. radar
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Yes b is for sure, I was trying to eliminate a c and d.

  12. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\sqrt{(-x)^2}=|-x| \]

  13. radar
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    I guess\[\pm0=-|0| \] is definitely true.

  14. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[|-x|=-x \text{ if x<0} ; |-x|=x \text{ if x>0}\] hey hershey calm down just because you are confident in you answer doesn't mean everyone is

  15. radar
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Thanks all, I am convinced B is correct.

  16. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    good job though hershey

  17. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    :)

  18. radar
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    The other distractors (a, c, and d) truly distracted me lol

  19. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Radar try writing them both as a piece wise function.

  20. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Ok, lol

  21. radar
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Yes I see it, the double negative when a x<0 was substituted on the left was confusing me.

  22. radar
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    The fact that the total was being squared, then the square root was to be taken. The right hand side was straight forward for me. Thank goodness, I have passed the test taking phase of my life lol.

  23. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    lol This is the way I looked at it \[\sqrt{(-x)^2}=|-x|=|-1||x|=1|x|=|x|\]

  24. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[|x|=-|x| \text{ when x=0 only}\]

  25. radar
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Yes that makes it most obvious to the casual observer (like me)

  26. myininaya
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I was thinking about doing this a longer way, but this is the most easiest way

  27. radar
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Yes that does simplify it.

  28. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if you wouldn't mind i posted another question i need help with

  29. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.