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!

Solving the following system

  1. Feb 27, 2009 #1
    1. The problem statement, all variables and given/known data

    Hello there, I'm having trouble solving the following system:

    x^2 + y^2 = 1 (I)

    x^2 + z^2 + x*z*sqrt(3) = 4 (II)

    y^2 + z^2 + z*y = 3 (III)


    2. Relevant equations



    3. The attempt at a solution

    Working on (I):

    y^2 = 1 - x^2

    Working on (III):

    (1 - x^2) + z^2 + z*sqrt(1 - x^2) = 3

    z = (2 + x^2)/(z + sqrt(1 - x^2))

    And here starts the problem, because I can't isolate the 'z', so I can't really move on.
     
  2. jcsd
  3. Feb 28, 2009 #2

    Gib Z

    User Avatar
    Homework Helper

    It may look ugly in the end, but to isolate z after you've started working on eqn 3, treat it as a quadratic equation in z.
     
  4. Feb 28, 2009 #3
    Thank you, I'll try it.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Solving the following system
  1. Solve the system (Replies: 1)

Loading...