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

ashwinjohn3

Ifp,q are rational and 2+\[\sqrt{3}\] is a root of x^2+px+q=0 then find the values of p and q.

  • one year ago
  • one year ago

  • This Question is Closed
  1. cinar
    Best Response
    You've already chosen the best response.
    Medals 3

    if 2+sqrt3 is a root then 2-sqrt3 is also root, so sum of roots is 4=-b/a

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

    |dw:1336638007963:dw|

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

    when roots are irrational, they occur as conjugate surds --> that means if one root of the quadratic is 2+sqrt3, the other would be 2-sqrt3. Hence, you can find out product of roots, which is 'q'. and sum of roots which is '-p'.

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

    and multilpy root is 1= c/a=q

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

    p=-4 q=1

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

    |dw:1345961568952:dw|

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

    this question asked 3 months ago !!!!!

    • 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.