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Solving a complex equation

  1. Feb 17, 2015 #1
    1. The problem statement, all variables and given/known data
    y=[(1+y^2)^1.5]/[2(y+sqrt 3)^2]; solve for y

    2. Relevant equations
    see above

    3. The attempt at a solution
    I tried to use algebra to solve it, but I can't. The text book says it can be solved numerically or by iteration. By numberically I think it means algebraically. But I don't know how to do it that way. I don't know what it means by iteration. Can you guys give me an idea of how to do it both ways?
     
  2. jcsd
  3. Feb 17, 2015 #2

    RUber

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    Homework Helper

    Numerically means using a computer or graphing method to find the answer. Bring the y to the right side so you have f(y)=0. Then plot it to see where f(y) crosses the axis.
    Iteration to me also implies a numerical solving method that starts with a guess and moves closer to the zero until you are as close as you need to be.
     
  4. Feb 17, 2015 #3
    Take the denominator to L.H.S and square both sides. Can you see a pattern?
     
  5. Feb 17, 2015 #4

    Ray Vickson

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    Numerically is NOT algebraically. Rather than trying to explain it I will just give a link to explanations that others have already written out. See
    http://mathforum.org/library/drmath/view/61677.html or
    http://cfd.mace.manchester.ac.uk/twiki/pub/Main/TimCraftNotes_All_Access/cfd1-numanal.pdf
     
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