Show that the solutions of z 4 3z 2 + 1 = 0 are given by

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Show that the solutions of z⁴ – 3z² + 1 = 0 are given by z = 2 cos 36°, 2 cos 72°, 2 cos 216°, 2 cos252° Hence show that

(a) cos 36 =(5 + 1) (b) cos 72 =(5 - 1) 4

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 05, 2024 09:13 AM

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Show that the solutions of z 4 3z 2 + 1 = 0 are given by

Question:

(a) cos 36 =(5 + 1) (b) cos 72 =(5 - 1) 4

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Modern Engineering Mathematics

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