perplexus.info :: Just Math : Real and Complex

Real and Complex (Posted on 2007-01-23)

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)

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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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