## 165 Reputation

12 years, 311 days

## MaplePrimes Activity

### These are replies submitted by goli

Thanks for your reply. But why I can't copy and paste it in another 3D plot? Would you please have a look at the attached file?

Many thanks

MaplePrimes.mw

## @acer  I don't prefer a trigon...

I don't prefer a trigonometric result, unless it's the only possible answer

## @acer  sorry, what do you mean by ...

sorry, what do you mean by "trig calls"?

## @Christian Wolinski  Hi! May I ask...

Hi! May I ask how you reached these expressions?

Thanks

## @acer  Yeah, but I mean a sim...

Yeah, but I mean a simple form. Not such a very complicated one! May I simplify your answer?

## @Carl Love  Hi and thanks. Then w...

Hi and thanks.

Then why I don't obtain the forth root using:

evalf(RootOf(6*_Z^3+(27+3*RootOf(_Z^2*l^2+3*_Z^4-3)^2*sqrt(9-3*RootOf(_Z^2*l^2+3*_Z^4-3)^2*l^2))*_Z^2+(3*sqrt(9-3*RootOf(_Z^2*l^2+3*_Z^4-3)^2*l^2)*l^4*RootOf(_Z^2*l^2+3*_Z^4-3)^2-9*sqrt(9-3*RootOf(_Z^2*l^2+3*_Z^4-3)^2*l^2)*l^2+45*RootOf(_Z^2*l^2+3*_Z^4-3)^2*sqrt(9-3*RootOf(_Z^2*l^2+3*_Z^4-3)^2*l^2)+90*RootOf(_Z^2*l^2+3*_Z^4-3)^2*l^2-18*l^4-81+6*l^6*RootOf(_Z^2*l^2+3*_Z^4-3)^2)*_Z-324+108*RootOf(_Z^2*l^2+3*_Z^4-3)^2*sqrt(9-3*RootOf(_Z^2*l^2+3*_Z^4-3)^2*l^2)-63*sqrt(9-3*RootOf(_Z^2*l^2+3*_Z^4-3)^2*l^2)*l^2+30*sqrt(9-3*RootOf(_Z^2*l^2+3*_Z^4-3)^2*l^2)*l^4*RootOf(_Z^2*l^2+3*_Z^4-3)^2-3*sqrt(9-3*RootOf(_Z^2*l^2+3*_Z^4-3)^2*l^2)*l^6+sqrt(9-3*RootOf(_Z^2*l^2+3*_Z^4-3)^2*l^2)*l^8*RootOf(_Z^2*l^2+3*_Z^4-3)^2-3*l^8+l^10*RootOf(_Z^2*l^2+3*_Z^4-3)^2+45*l^6*RootOf(_Z^2*l^2+3*_Z^4-3)^2+351*RootOf(_Z^2*l^2+3*_Z^4-3)^2*l^2-108*l^4, index = 4));

?

Maple gives an error: " Error, (in RootOf) index should be a positive integer less than 4 "

Thank you

Would you want to show me that I can not obtain an explicit answer for rootof in terms of "l"? (Albeit in a more simple form than what you worte). Because you have chosen "l=2", to obtain a solution.

Thanks

## @Kitonum Dear KitonumThanks for you...

Dear Kitonum

Thanks for your reply. But my problem is not as easy as what you said. When you use "explicit", you will obtain 11 answers instead of my 7 answers. Actually, I need the eigenvalues related to the eighth case in your answers, and not the seventh.

And also I will be appereciate if you can explain a little about the role of explicit.

Thanks

## @acer  Dear acer Here is my progr...

Dear acer

Here is my program. See ev7, please.

Thanks

MaplePrimesacer.mw

## @Kitonum  Again this is me! I unde...

Again this is me! I understood that the first line of your answer is the roots of "

```RootOf(_Z^2*l^2+3*_Z^4-3)
```

"

and the problem of the presence of "l" in your reply has been solved for me. But how about my second question? Why are there 4 roots for a third order equation?

Also, I need the roots of "A", in terms of "l", without indentifying the value of "l". Like the roots of

`RootOf(_Z^2*l^2+3*_Z^4-3)`

Thank you very much

Thanks for your reply. But I think I'm a little confused. You said I need to specify the value of "l", to obtain an explicit form for the rootof. I see that you have chosen "l=1". But I see "l", in your answers yet! Why?

Also, with attention to your reply, I think since my equation is of order 3, so I will find 3 roots, while I see more than 3 roots in your answer. Why?

Thanks a lot

## @acer  Exactly! Thank you very muc...

Exactly! Thank you very much!

Regards

## @Rouben Rostamian Dear Rouben Thanks ...

@Rouben Rostamian

Dear Rouben

Thanks for your nice reply. But I couldn't use your approach in my case, because  it's not a simple field plot. Would you please see the attachment and guide me to find the answer.

Thanks a lotmapleprimes.mw

Dear Carl