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sparrow911-Visitor
1-Visitor
June 13, 2014
Question

finding all roots of a complex equation

  • June 13, 2014
  • 2 replies
  • 1964 views

Hello everyone,

Im trying to find all roots of the equation (2+3i)^(1/4) ...

I can find one in mathcad but have no idea how to make it work out all the others (4 in total) and have had no luck browsing the web so really hope you can help me!

thanks in advance

Konrad

2 replies

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Fred_Kohlhepp23-Emerald I
23-Emerald I
June 13, 2014

That's not an equation, that's an imaginary number. Unless you're solving for i; even then there's only i = -0.5

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sparrow911-VisitorAuthor
1-Visitor
June 13, 2014

yes sorry i should have just written the question, rather than explain sorry!.

'simplify the following expression giving the answer in the form a+bi

(2+3i)^(1/4) giving all 4 roots...

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RichardJ19-Tanzanite
19-Tanzanite
June 13, 2014

Use the symbolic processor and the rectangular keyword to rewrite the expression in the form a+bi

To find the roots convert that to the polar form, and use De Moivre's theorum.

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    Werner_E25-Diamond I
    25-Diamond I
    June 13, 2014

    To get Mathcad to automatically give you all 4 roots you have to symbolically solve the equation z^4=2+3i

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      sparrow911-VisitorAuthor
      1-Visitor
      June 13, 2014

      Thank you very much Werner.

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