Apply Newton's method to the equation x² = N to derive this algorithm for getting the square root of N: Xn+l X. + n N Xn

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 14E
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=
N to
Apply Newton's method to the equation x²
derive this algorithm for getting the square root of N:
N
5₁₁ - = (x + ²)
=
Xn+1
Transcribed Image Text:= N to Apply Newton's method to the equation x² derive this algorithm for getting the square root of N: N 5₁₁ - = (x + ²) = Xn+1
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