A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Jadedry

  • one year ago

Given that the roots of the equation ( ax^2 +bx +c = 0 ) are beta and (n * beta) show that )((n+1)^2 * ac) =n*b^2 I've figured out that: beta + (n * beta) = -b/a n * beta^2 = c/a (beta + (n * beta) / n*beta^2) = b/c) Unfortunately, that's as far as I got, I'm not sure about to continue. Could someone please provide some hints? Thanks in advance!

  • This Question is Closed
  1. imqwerty
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    \[(n+1)^2\times ac=n \times b^2\]divide both sides by a^2\[(n+1)^2 \times \frac{ c }{ a }=n \times \left( \frac{ b }{ a } \right)^2\] we know that \[\frac{ c }{a }=n*\beta^2\] and \[\frac{ -b }{ a }=n \beta+\beta\]\[\frac{ b }{ a }=-(n \beta+\beta)\]now just put these two values in the equation u get- \[(n+1)^2 \times n \beta^2 =n \times [-(n \beta+\beta)]^2\] \[(n+1)^2 \times n \beta^2 = n \times [-\beta(n+1)]^2\]\[(n+1)^2 \times n \beta^2 =n \times \beta^2(n+1)^2\]LHS=RHS hence proved

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

    @imqwerty Thank you! That really clears things up.

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

    :) no prblm

  4. 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.