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

koli123able

Find 'p' if 3x^2+2x+3p=0 has real & different roots. . . ANSWER = p<1/9

  • one year ago
  • one year ago

  • This Question is Closed
  1. koli123able
    Best Response
    You've already chosen the best response.
    Medals 0

    I have no idea on solving this question....

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

    A quadratic has real and different roots if the descriminant is greater than zero: \[\Delta > 0\]

    • one year ago
  3. koli123able
    Best Response
    You've already chosen the best response.
    Medals 0

    delta?? u mean discriminant?

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

    Yes.

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

    Yup

    • one year ago
  6. koli123able
    Best Response
    You've already chosen the best response.
    Medals 0

    so how D>0 ??

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

    What do you mean? Set the discriminant to be greater than zero b^2-4ac > 0

    • one year ago
  8. koli123able
    Best Response
    You've already chosen the best response.
    Medals 0

    I mean how is discriminant greater than zero can u explain?

    • one year ago
  9. harsimran_hs4
    Best Response
    You've already chosen the best response.
    Medals 0

    if d > 0 then there are real and different roots d = 0 real and equal roots d < 0 imaginary roots

    • one year ago
  10. agent0smith
    Best Response
    You've already chosen the best response.
    Medals 0

    Real and different...? I'm guessing you mean real and distinct. But yes you can use the discriminant. When the discriminant is less than zero, it will have complex/imaginary roots, as the quadratic formula takes the square root of the discriminant ( http://www.purplemath.com/modules/quadform.htm ) \[3x^2+2x+3p=0 \]\[ax^2+bx+c = 0\] so here, a=3, b = 2 and c = 3p discriminant is \[b^2-4ac > 0 \]

    • one year ago
  11. koli123able
    Best Response
    You've already chosen the best response.
    Medals 0

    If D>0 then sqrt(b^2-4ac) is a real number and roots are real and unequal

    • one year ago
  12. koli123able
    Best Response
    You've already chosen the best response.
    Medals 0

    am I right?

    • one year ago
  13. harsimran_hs4
    Best Response
    You've already chosen the best response.
    Medals 0

    \[x = \frac{ -b \pm \sqrt{b^2 - 4ac} }{ 2a }\] try putting different values of d and check out

    • one year ago
  14. harsimran_hs4
    Best Response
    You've already chosen the best response.
    Medals 0

    yes you are!!

    • one year ago
  15. koli123able
    Best Response
    You've already chosen the best response.
    Medals 0

    as D>0 and D=b^2-4ac so, (2)^2-4*3*3p>0 4-36p>0 4>36p 1/9>0

    • one year ago
  16. koli123able
    Best Response
    You've already chosen the best response.
    Medals 0

    is this ok?

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

    You lost a p at the end

    • one year ago
  18. koli123able
    Best Response
    You've already chosen the best response.
    Medals 0

    oh sorry I typed it in hurry

    • one year ago
  19. koli123able
    Best Response
    You've already chosen the best response.
    Medals 0

    p<1/9

    • 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.