Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

koli123able

  • 2 years ago

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

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

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

  2. Xavier
    • 2 years ago
    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: \[\Delta > 0\]

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

    delta?? u mean discriminant?

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

    Yes.

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

    Yup

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

    so how D>0 ??

  7. Xavier
    • 2 years ago
    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

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

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

  9. harsimran_hs4
    • 2 years ago
    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

  10. agent0smith
    • 2 years ago
    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 \[b^2-4ac > 0 \]

  11. koli123able
    • 2 years ago
    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

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

    am I right?

  13. harsimran_hs4
    • 2 years ago
    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

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

    yes you are!!

  15. koli123able
    • 2 years ago
    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

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

    is this ok?

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

    You lost a p at the end

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

    oh sorry I typed it in hurry

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

    p<1/9

  20. 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.