Show the cubic equation x 3 2x 1 = 0 has a root near x

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Show the cubic equation x³ – 2x – 1 = 0 has a root near x = 2. Prove that the iteration

fails to converge to that root. Devise a simple iteration formula for the root of the equation, and use it to find the root to 6dp.

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 16, 2024 03:02 AM

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Show the cubic equation x 3 2x 1 = 0 has a root near x

Question:

Xn+1 =(x-1)

Step by Step Answer:

Setting fx x 2x 115 0 and 2 0 sofhas a zero between 15 and 2 3 d dx 22x1 2 x SO Xn...View the full answer

Modern Engineering Mathematics

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