2. Show that x - 5x² - 7 = 0 can be arranged to give the formula: x n+1 = √√5(x3) + 7 Using a value of x = 2, find the following: x₂ = 11 x4 = x5 || x = (giving your answer to 3 significant figures)

Algebra and Trigonometry (6th Edition)
6th Edition
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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2. Show that x - 5x² - 7 = 0 can be arranged to give the formula:
x
n+1
= √√5(x₂²) + 7
Using a value of x = 2, find the following:
x₂ =
11
x₁ =
X5
||
x =
(giving your answer to 3 significant figures)
Transcribed Image Text:2. Show that x - 5x² - 7 = 0 can be arranged to give the formula: x n+1 = √√5(x₂²) + 7 Using a value of x = 2, find the following: x₂ = 11 x₁ = X5 || x = (giving your answer to 3 significant figures)
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