A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

which one of the following is a complex zero of P(x)=x^4-16

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

    \[x^4-16=(x^2+4)(x^2-4)=(x^2+4)(x+2)(x-2)\]

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the real zeros are \(2\) and \(-2\)

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the complex ones you get from solving \[x^2+4=0\] do you know how to do that?

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

    wouldn't x=2?

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no

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

    \[x^2+4=0\\ x^2=-2\\ x=\pm\sqrt{-2}\] or \[x=\pm\sqrt{2}i\]

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it is not \(x=2\) because \(2^2+4=4+4=8\) not zero

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay so what if my choices are only..

    1 Attachment
  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i made a typo there second line should be \(x^2=-4\)

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \(-2i\) and \(2i\) are the zeros pick \(-2i\) who is jsara?

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay that makes sense.... and i just typed in random letters but I asked myself that same question as i was sending it hahahaha

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if those letters are random i will have a beer now

  13. 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.