Regula-Falsi Iterative Formula: Xnew = xp - [(f(xp) * (xp – xn)) / (f(xp) – f(xn))] Problem: f(x) = x3 + 5x2 + 7x – 20 Use initial value of (1,2). Stop if you reach 5 iterations.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Regula-Falsi
Iterative Formula:
Xnew = xp - [(f(xp) * (xp – xn)) / (f(xp) – f(xn))]

Problem:
f(x) = x3 + 5x2 + 7x – 20
Use initial value of (1,2). Stop if you reach 5 iterations.

Table for Regula-Falsi
Xn
1.000
1.241
fxn
-7.000
-1.701
xp
2.000
2.000
fxp
22.000
22.000
xnew
1.241
fxnew
-1.701
Transcribed Image Text:Table for Regula-Falsi Xn 1.000 1.241 fxn -7.000 -1.701 xp 2.000 2.000 fxp 22.000 22.000 xnew 1.241 fxnew -1.701
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