perplexus.info :: Just Math : Complex Conclusion

Complex Conclusion (Posted on 2012-08-29)

Each of a and c is a positive integer and each of b and d is an integer with b ≥ d.

Determine all possible pairs (a + bi, c + di) of complex numbers whose sum equals their product.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(a,b,c,d) =(2,0,2,0), and, (1,1,1,-1) are the only possible solutions.
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
re: Playing around on the complex plane. - Proof and Solution	Brian Smith	2022-12-12 13:15:17
re(2): Playing around on the complex plane.	Jer	2012-08-31 15:48:56
re: Playing around on the complex plane.	Steve Herman	2012-08-30 17:22:13
Playing around on the complex plane.	Jer	2012-08-30 16:20:59
re: Solution	Steve Herman	2012-08-29 15:17:23
Solution	Jer	2012-08-29 13:57:00
computer exploration	Charlie	2012-08-29 12:54:45

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