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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.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: Playing around on the complex plane.

| Comment 5 of 7 |

(In reply to Playing around on the complex plane. by Jer)

Jer:

That is a very cool result, but I assume that it applies only if b and d is non-zero. The first solution that you found, (2 + 0i, 2 + 0i), has a product that is distance 3 from 1 + 0i.

Steve

Posted by Steve Herman on 2012-08-30 17:22:13

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