All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
Complex Number Puzzle (Posted on 2015-11-08) Difficulty: 3 of 5
Each of A, B and C is a complex number such that:

A+B+C = 2, and:
A2 + B2 + C2 = 3, and:
A*B*C = 4

(A*B + C - 1)-1 + (B*C + A - 1)-1 + (C*A + B - 1)-1

See The Solution Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts Maybe I got it (possible spoiler) | Comment 1 of 2
The given info can be used to get other equations such as

If you get a common denominator for the expression to be evaluated and expand like crazy you get a big algebra mess, but all of the pieces can be rearranged and refactored and end up as
(8+1/2)/(-(40+3/4)) = -34/123

Which is the solution assuming I made no errors. 

  Posted by Jer on 2015-11-08 11:26:25
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information