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dilraj1-Visitor
1-Visitor
September 28, 2017
Solved

Find the roots of the equation

I want to find first five roots of this equation using mathcad . I could'nt able to find any helpful info on the web, so i am posting it here

 

0.1*x+10*tan(0.1*x)=0

ValeryOchkovAnswer
24-Ruby IV
September 28, 2017

May be so

5-zero.png

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8 replies

ValeryOchkov24-Ruby IVAnswer
24-Ruby IV
September 28, 2017

May be so

5-zero.png

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    ValeryOchkov24-Ruby IV
    24-Ruby IV
    September 28, 2017

    Maple

    5-zero-Maple.png

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      -MFra-21-Topaz II
      21-Topaz II
      September 28, 2017

      ...firs six roots,,,,first six.jpg

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        dilraj1-VisitorAuthor
        1-Visitor
        September 28, 2017

        Thank you so much for your time and great method @-MFra-, but how do we guess x=28.6  initially. Like here u input initial value of x directly

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        -MFra-21-Topaz II
        21-Topaz II
        September 28, 2017

        Hi,

        honestly, I took that value empirically, looking at the chart, which seems to me the quickest method. However, if you want to calculate it automatically, you might try applying the method used to initialize a root, that is, the method of the "Gershgorin" circle in the complex plane. If you are interested there are also complex roots, I believe.

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        ValeryOchkov24-Ruby IV
        24-Ruby IV
        September 29, 2017

        See also

        http://www.wolframalpha.com/input/?i=0.1*x%2B10*tan(0.1*x)%3D0

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