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!

Homework Help: Solve in R (inequalities)

  1. Apr 21, 2013 #1
    1. The problem statement, all variables and given/known data
    x y and z are real numbers
    solve in lR
    (1+4x^2)y=4z^2
    (1+4y^2)z=4x^2
    (1+4z^2)x=4y^2


    2. The attempt at a solution
    (1+4x^2)y(1+4y^2)z(1+4z^2)x=64x^2y^2z^2(x and y and z =/=0)
    ([itex]\frac{1}{4}[/itex]+x^2)([itex]\frac{1}{4}[/itex]+y^2)([itex]\frac{1}{4}[/itex]+z^2)=xyz
    now i can tell from this that (1/2,1/2,1/2)(suppose that x=y=z solves this also (0,0,0,) is a solution)
    but i'm really stuck here i thought this problem would be easy i need help
     
  2. jcsd
  3. Apr 21, 2013 #2

    mfb

    User Avatar
    2017 Award

    Staff: Mentor

    I would try this: plugging (1) in (3), (1+(1+4x^2)y)x=4y^2 or 4y^2-(x+4x^3)y-x=0
    This can be solved for y.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted