Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

swissgirl

How to find the complex roots of \(x^4+x^3+3x^2+2x+2 \)

  • one year ago
  • one year ago

  • This Question is Closed
  1. dumbcow
    Best Response
    You've already chosen the best response.
    Medals 2

    you have to factor out any real roots easiest to graph the function to obtain any real roots

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

    There are no real roots though

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

    its above the y axis

    • one year ago
  4. experimentX
    Best Response
    You've already chosen the best response.
    Medals 1

    let (x^2+bx+1)(x^2+cx+2) = that expression and find the value of b and c

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

    ok then yeah what @experimentX said if two of the complex roots is in the form: \[x = a \pm bi\] then \[x-a = \pm bi\] \[(x-a)^{2} = -b^{2}\] \[x^{2}+ (-2a)x +(a^{2}+b^{2}) = 0\] anyway , my point is that a pair of complex roots come from a quadratic equation :|

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

    I imagine you could factor this by grouping and then use the quadratic formula again.

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

    i tried doing the method u taught me yesterday but it wldnt go

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

    \[\Large x^4+x^3+3x^2+2x+2 \\ \Large =x^4+2x^2+x^3+x^2+2(x+1)\\ \Large =x^4+2x^2+x^2(x+1)+2(x+1)\\ \Large =x^2(x^2+2)+(x^2+2)(x+1)\\ \Large =(x^2+2)(x^2+x+1)\]

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

    I think the trick is seeing to split up the \(3x^2\) as \(2x^2+x^2\).

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

    omg y is it always sooooo simple and I can never see it lol

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

    Thanksssss guyssss for helping me :))))

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

    You're welcome.

    • one year ago
    • Attachments:

See more questions >>>

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.