i) Show that the cubic equation x³ + 5x − 5 = 0 can be rearranged to give: Xn+1 = 5 xn²+5 Solve this cubic equation by iteration. Start with x = 1 and find the value of x to 3 significant figures. You must show your first four values for the iteration giving each to 3 significant figures.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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i)
4.3 Solve polynomial equations by iteration
Show that the cubic equation x³ + 5x − 5 = 0 can be
rearranged to give:
Xn+1 =
5
xn²+5
Solve this cubic equation by iteration. Start with x = 1 and find the value
of x to 3 significant figures. You must show your first four values for the
iteration giving each to 3 significant figures.
X₁ =
X₂ =
X3 =
X4 =
X5 =
X =
Transcribed Image Text:i) 4.3 Solve polynomial equations by iteration Show that the cubic equation x³ + 5x − 5 = 0 can be rearranged to give: Xn+1 = 5 xn²+5 Solve this cubic equation by iteration. Start with x = 1 and find the value of x to 3 significant figures. You must show your first four values for the iteration giving each to 3 significant figures. X₁ = X₂ = X3 = X4 = X5 = X =
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