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Real and Complex (Posted on 2007-01-23) Difficulty: 3 of 5
Let r and z be real and complex numbers respectively, such that

(a) 0 < r < 1
(b) z^6 - z^5 - z + 1 = 0
(c) z^2 - rz + 1 = 0

Find the value of r.

See The Solution Submitted by Dennis    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Answer | Comment 3 of 4 |
The required value of r is 0.618034 (correct to six places)
  Posted by K Sengupta on 2008-07-19 07:10:19
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