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Newton-Raphson Formula question

  1. May 29, 2012 #1
    Question:
    Find the smallest positive root of the equation x^4 + x^2 - 80= 0 correct to two decimal places. Use the Newton-Raphson process.

    How would I go about finding the smallest positive root? What I was thinking is using x = 3 as x = 3 is the largest number that would be close to 0 (for the equation), then finding an approximation for that, is that correct?

    thanks.
     
  2. jcsd
  3. May 29, 2012 #2

    PAllen

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    Gold Member

    1) Independent of the question asked, can you see that the equation is trivially solvable exactly analytically (no need for Newton-Raphson)?

    2) For a numeric solution, a start value of 3 looks fine. I assume (hope) you know how to apply Newton-Raphson from there.
     
    Last edited: May 29, 2012
  4. May 30, 2012 #3
    I'm perfectly aware it is solvable from that form, and I do know how to apply Newton-Raphson. Thanks.
     
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