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Newtons Method Problem

  1. Nov 18, 2011 #1
    Question:
    Use newtons method to approximate the indicated root of the equation correct to six decimal places.

    The positive root of sin(x) = x^2

    The answer is ...0.876726

    Why did they pick this when the obvious root is 0????

    Sin(0) = (0)^2 = 0
     
  2. jcsd
  3. Nov 18, 2011 #2

    Simon Bridge

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    There are two roots - they want you to find the other one.
    The one that it actually helps to use newton's method for.
     
  4. Nov 18, 2011 #3
    Yes, they wouldn't ask you to use Newton's Method if they only wanted the trivial root. Try to start with a first approximation that is near the root. I'd try 1.
     
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