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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: Equation complexe
Date: Tue, 25 Feb 2025 14:53:49 -0800
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On 2/25/2025 2:20 PM, Richard Hachel wrote:
> Le 25/02/2025 à 23:08, "Chris M. Thomasson" a écrit :
>> On 2/25/2025 6:23 AM, Richard Hachel wrote:
>>> x^4=-81
>>>
>>> What is x?
>>
>> what about x^7 = -81 ?
>>
>> Using my own code:
>>
>> r0 = (1.68791,0.812857)
>> r1 = (0.41688,1.82647)
>> r2 = (-1.16807,1.46472)
>> r3 = (-1.87344,-1.63782e-07)
>> r4 = (-1.16807,-1.46472)
>> r5 = (0.416881,-1.82647)
>> r6 = (1.68792,-0.812856)
>>
>> p0 = (-81,-2.63931e-05)
>> p1 = (-81,-1.93183e-06)
>> p2 = (-81,2.25295e-05)
>> p3 = (-81,-4.69908e-05)
>> p4 = (-81,-0.000177025)
>> p5 = (-81,-7.53158e-05)
>> p6 = (-81,-0.000263285)
> 
> x=-1.873444


The n-ary roots for (-1.873444+0i)?

here is the output from my program wrt the 4'th power:

roots[0] = (0.827266,0.827266)
roots[1] = (-0.827266,0.827266)
roots[2] = (-0.827266,-0.827266)
roots[3] = (0.827266,-0.827266)

raised[0] = (-1.87344,-1.63782e-07)
raised[1] = (-1.87344,-4.46812e-08)
raised[2] = (-1.87344,-1.74197e-06)
raised[3] = (-1.87344,1.05711e-06)