perplexus.info :: Just Math : Simple complex numbers

Simple complex numbers (Posted on 2021-11-09)

If there are two complex numbers z₁, z₂ and satisfy |z₁+z₂|=20, |z₁²+z₂²|=16, find the maximum of |z₁³+z₂³|

No Solution Yet Submitted by Danish Ahmed Khan

No Rating

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

Puzzle Answer

Comment 2 of 2 |

The required common value is -1

****Very interesting but equally HARD! But, I will strive to arrive at an independent analytic explanation in future.

Posted by K Sengupta on 2022-06-17 23:01:13

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info