Roots of Complex Numbers (Sharp, TI, Casio)

[Matt Agajanian]

(01-01-2023 05:34 AM)Thomas Klemm Wrote:  

(12-31-2022 11:58 PM)Matt Agajanian Wrote:  But what function am I using when I put (15625+0.719413999i)^(1/4) into the 42S and get 11+2i as a single result?

Code:

00 { 28-Byte Prgm }
01 RAD
02 POLAR
03 15625
04 0.71941399
05 COMPLEX
06 4
07 1/X
08 Y↑X
09 RECT
10 END

---

(12-30-2022 10:58 PM)Matt Agajanian Wrote:  Example Calculate 4th root of (15625+0.719413999i)

Let x= 15625, y=0.719413999

(…)

Example 1: (11 + 2i)^4 = 11753 + 10296i

(Radian Mode)
R>Pr(11,2)^4 sto→ x (15625)
R>PΘ(11,2)*4 sto→ y (0.719413999)

I assume that part of the confusion stems from the fact that you use variables \(x\) and \(y\) for radius and angle.
Thus I suggest to use \(r\) and \(t\) instead.
Hopefully this prevents you from writing \(r + it\) when you mean \(r \cdot e^{it}\).

Yes. I can see and understand what to do on the 42S since it can handle the whole range of transcendental functions in complex mode. And I have entered the (11+2i)^4 as well as calculating the fourth root of the previous result. But, switching it around to accomplishing the same functions and results on the 36X Pro and 30X Pro MathPrint, how would I do that?

Yes, I can use the 42 instead of the 30 and 36. I'd just like to know how it can be accomplished on the TI models.