1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Quadratic equation

  1. May 23, 2010 #1
    express the following in terms of alpha1 x beta1 and alpha2 x beta2

    alpha1 x alpha 2=beta1 x beta2
  2. jcsd
  3. May 23, 2010 #2


    User Avatar
    Science Advisor

    [itex]\alpha_1\alpha_2= \beta_1\beta_2[/itex] gives
    [tex]\frac{\alpha_1}{\beta_1}= \frac{\beta_2}{\alpha_2}[/tex]

    or [itex]\alpha_1\beta_1^{-1}= \alpha_2^{-1}\beta_2[/itex]

    but there is no way to express it in terms of the products [itex]\alpha_1\beta_1[/itex] and [itex]\alpha_2\beta_2[/itex].
  4. May 23, 2010 #3


    User Avatar
    Homework Helper

    Well you can still find out what [itex]\alpha_1\beta_1[/itex] is equal to in terms of the 4 variables.

    start with [itex]\alpha_1\alpha_2=\beta_1\beta_2[/itex] and multiply both sides by [itex]\beta_1[/itex]
  5. May 23, 2010 #4
    That's like using a word in its own definition, but yes, it can be done.
  6. May 23, 2010 #5


    User Avatar
    Homework Helper

    Either that or we have to break it to the OP that we can't define that word :wink:
  7. May 25, 2010 #6
    hmmm... i still need some one to help me with it
  8. May 25, 2010 #7
    There must be more to this problem. You are asking us to express an equality "in terms of" parts of that equality. It can be done, but we might be more helpful with more information.
    1) where is this from?
    2) is English your native language?
    3) what course/class is this for?
  9. Jun 2, 2010 #8
    1) it is a question i saw in a test book am studying and it is not my course work
    3) it for general maths
  10. Jun 2, 2010 #9


    User Avatar
    Homework Helper

    Then my response would be your best bet at getting an answer.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook