perplexus.info :: Just Math : Complex Number Query

Complex Number Query (Posted on 2016-04-03)

Determine all possible values of a complex number z such that:
(3z+1)(4z+1)(6z+1)(12z+1) = 2

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The four roots of the given equation are:
Z= (-5 +/- i*sqrt(23)/24 OR (-5 +/- sqrt(33)/24.
For an explanation refer to the solution submitted by Brian Smith in this location..

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Solution (An easier way)	Brian Smith	2022-05-27 09:56:20
Solution (probably the hard way)	Jer	2016-04-03 20:19:34

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