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Find the principal arguments of the 5 roots of the polynomial:p(z)=z^5-5*z^4-5*z-5,and enter a decimal approximation to the largest principal argument in the box below.  Your approximation should be correct to 10 significant figures

Can some one tell me how to write in maple？correct answer is 2.691121659

1dim_roots.mw

All critics and new ideas would be appreciated.

So im working on this question right now:

 Using “complexplot”, show all of the cube-roots of -8i (you will first have to 
find the principle cube root, convert to polar form, and then add appropriate 
propportions of 2*Pi to the argument to find all other roots, using Maple for all 
calculations).

Im going to attach my attempt to this post, all feedback is greatly appreciated and if im doing something wrong, if someone could lead me in the right direction.

hi

i have written the followin code that achieve Y from determinant of matric aa. but when i change digit my result changes. i dont know why? 

> restart;
> with(LinearAlgebra);
> Digits := 100;
>
> NULL;
> upsilon := .38;
> rho := 0.122e4;
> l := 0.176e-4;
> h := 2*0.176e-4;
> L := 20*h;
> NULL;
> E := 0.144e10;
> lambda := E*upsilon/((1+upsilon)*(1-2*upsilon));

Dear Maple users

Many problems in mathematicis can be traced back to solving equations. It is at the heart of a program like Maple. I know solving equations in general can be immensely difficult. As an example The Riemann hypothesis has to do with the solution of a specific equation, the Riemann zeta function, and is probably the most famous unsolved problem today. I just mention this one to emphasize how hard it can be to solve an equation. Therefore I know...

I am trying to find all the complex roots of T:

> w := 60*(2*3.14159);
> R12 := .5;
> L12 := 3/w;
> Z12 := R12+s*L12+I*w*L12;
> kp := 0.5e-3;
> kv := 0.5e-3;
> Q1 := 384;
> Q2 := 375;
> apw1 := s+kp*(-Q1+w*L12/abs(Z12)^2);
> apw2 := s+kp*(-Q2+w*L12/abs(Z12)^2);
> aqv1 := 1+kv*(Q1+w*L12/abs(Z12)^2);
> aqv2 := 1+kv*(Q2+w*L12/abs(Z12)^2);

> T := apw1*apw2*aqv1*aqv2;

mem2.mw

Although i have defined K5 as a constant before solving the equations , maple returns an error message saying that

"Error, (in fsolve) k5 is in the equation, and is not solved for"

And i am alos trying t find the roots of the equations in a certain range as specified above.

VEH_We.mwDear Community

I try to plot a rather sophisticated function with Bessel functions and several roots of a transcendent equation, but failed. I've specified all parameters, functions, etc. yet I still get an error message. What do I do wrong? I've uploaded the file,  if you could have a look.

Tx in advance, best regards

Andras

Usually Maple gives solutions in terms of radicals only up to degree=4
(for example using RootOf + allvalues).

Using 'irreduc' (to test first) and 'galois' (to check for the Galois
group, if degree <= 9) I have cases, where the result implies, that by
theory the roots can be given through radicals:

Though the results are difficult to read in my case they are 'C(6)' or
'C(8)', the cyclic groups of that order - thus abelian and IIRC those
groups are solvable.