Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mmbuckaroos

  • 2 years ago

Determine all of the roots of the given equation: x^3-2x^2-3x+10=0

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

    Complex, too? @mmbuckaroos?

  2. shelovespiano
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x=-2 x=2-i x=2+i

  3. mmbuckaroos
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Could you explaint o me how you got those so I can try my other problems please?

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

    Sorry, I'm a little low on time... if you bump your question, i'm sure someone else can help you. sorry!

  5. mmbuckaroos
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok thanks

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

    The possible rational roots are the factors of the constant term which is 10 divided by the factors of the coefficient of the term with the highest exponent which is the x^3 term. It's coefficient is 1. So the possible rational roots are: \[\frac{\pm10}{1}, \frac{\pm5}{1}, \pm\frac{2}{1}, \frac{\pm1}{1}\]

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

    Use synthetic division to see if any of those are actually roots.

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

    Since we have reason to believe that -2 is a root, let's try it.

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

    |dw:1335664232988:dw|

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

    So we see that -2 is a root and now we must solve the quadratic equation x^2-4x+5=0 to find the other roots.

  11. mmbuckaroos
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok this is the part that confuses me this division. My book here makes it so confusing

  12. mmbuckaroos
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    like where do you get all of those numbers from? Sorry I just don't get this at all.

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

    |dw:1335664387666:dw|

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

    So you need help with synthetic division?

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

    Do you understand the part about the possible rational roots?

  16. mmbuckaroos
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I actually think I figured out what you did to get those numbers now so nvm on that ? I understand the possible rational roots

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

    So you need help with the synthetic division process?

  18. mmbuckaroos
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    do i have to do the synthetic division for every possible rational root?

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

    No. Just until you find one where the remainder is 0. That indicates that you have found a factor. Then you can start working on the quotient to find more roots.

  20. mmbuckaroos
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so it is a rootif it comes out equaling zero. ok so now that im following you we can keep going sorry about that

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

    |dw:1335664711981:dw|

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

    So since the second factor is a quadratic and it won't factor, we just plug it into the formula to find the roots.

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

    Do you have another problem? Perhaps if we start another one from scratch, it will help you understand. I can guide you.

  24. mmbuckaroos
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes one sec sorry

  25. mmbuckaroos
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x^3-x^2-4x-6=0

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

    Can you list the possible rational roots?

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

    It is so hard to help someone who won't respond.

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

    Sorry my computer shut down. Ok: +/-1, +/-1/6 ?

  29. shelovespiano
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    He's not online anymore.... btw. I don't think I can help you, though, sorry:/ bump your question i guess?

  30. mmbuckaroos
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    It's alright. I think I got it figured out. Feel bad I left him hanging there darn computer for some reason it doesn't ever like this site

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy

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.