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1 ? < 40. The cubic x³ - 2x² - x + 1 has three real roots; one is negative. a. Find a rearrangement that converges to the negative root. Will this converge to either of the positive roots? b. Find a rearrangement that will converge to the larger positive root. Will this same rearrangement con- verge to the other roots? c. Find a different rearrangement that converges to the smaller positive root. Does it work for the other roots?

1 ? < 40. The cubic x³ - 2x² - x + 1 has three real roots; one is negative. a. Find a rearrangement that converges to the negative root. Will this converge to either of the positive roots? b. Find a rearrangement that will converge to the larger positive root. Will this same rearrangement con- verge to the other roots? c. Find a different rearrangement that converges to the smaller positive root. Does it work for the other roots?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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➡ ? 40. 40. The cubic x³ - 2x² - x + 1 has three real roots; one is negative. a. Find a rearrangement that converges to the negative root. Will this converge to either of the positive roots? b. Find a rearrangement that will converge to the larger positive root. Will this same rearrangement con- verge to the other roots? c. Find a different rearrangement that converges to the smaller positive root. Does it work for the other roots?
Transcribed Image Text:➡ ? 40. 40. The cubic x³ - 2x² - x + 1 has three real roots; one is negative. a. Find a rearrangement that converges to the negative root. Will this converge to either of the positive roots? b. Find a rearrangement that will converge to the larger positive root. Will this same rearrangement con- verge to the other roots? c. Find a different rearrangement that converges to the smaller positive root. Does it work for the other roots?
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