cancel
Showing results for 
Search instead for 
Did you mean: 
cancel
Showing results for 
Search instead for 
Did you mean: 

Community Tip - Visit the PTCooler (the community lounge) to get to know your fellow community members and check out some of Dale's Friday Humor posts! X

finding all roots of a complex equation

sparrow91
1-Visitor

finding all roots of a complex equation

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

5 REPLIES 5

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

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...

RichardJ
19-Tanzanite
(To:sparrow91)

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.

Werner_E
25-Diamond I
(To:sparrow91)

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

13.06.png

Thank you very much Werner.

Announcements

Top Tags