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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

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

See The Solution Submitted by K Sengupta    
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Comments: ( Back to comment list | You must be logged in to post comments.)
Solution A more confident answer Comment 2 of 2 |
The last one was incorrect (as was my next attempt: -24/193)

New approach: try to solve for A, B, C.
I assumed A=a(cos(T)+isin(T), B=a(cos(T)-isin(T)), C=c

Long story very short:  the solution is -2/9

(I'll fill in the details later.)


  Posted by Jer on 2015-11-09 14:11:51
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