Write Newton's formula used to approximate a solution of the equation x³ +5x²-20= 0 and find the third iteration value. Be sure to verify both parts of the answer are correct when making your selection. a.) b.) d.) Xn+1=2- Xn+1=Xn² Xn+1=2+ Xn+1=Xn 3 Xn xỉ 45 xỉ 20 3x²+ 2+10x n 3 xỉ 45 xỉ 20 2 3x² +10xn 3 xỉ +5x20 3x²+10xn 3 xỉ 45 xỉ 20 3x²+10x X3 1.77100432 X32.428461501 X3 2.577003986 X3 1.724576751

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Approximate the solutions of equations by using derivatives (Newton’s method).

Write Newton’s formula used to approximate a solution of the equation  and find the third iteration value. Be sure to verify both parts of the answer are correct when making your selection.

Write Newton's formula used to approximate a solution of the equation x³ +5x²-20= 0 and
find the third iteration value. Be sure to verify both parts of the answer are correct when
making your selection.
b.)
c.)
d.)
Xn+1=2-
Xn+1=Xn²
Xn+1=2+
3
xỉ +5x20
Xn
3x₂² +10xn
Xn+1=Xn
3
xỉ +5x, -20
3x²+10x
3
xỉ 45x20
2
3x² +10x
xỉ 45xỉ 20
3
Xn
2
3x²+10x
X3 1.77100432
X3 2.428461501
X3 2.577003986
X3 1.724576751
Transcribed Image Text:Write Newton's formula used to approximate a solution of the equation x³ +5x²-20= 0 and find the third iteration value. Be sure to verify both parts of the answer are correct when making your selection. b.) c.) d.) Xn+1=2- Xn+1=Xn² Xn+1=2+ 3 xỉ +5x20 Xn 3x₂² +10xn Xn+1=Xn 3 xỉ +5x, -20 3x²+10x 3 xỉ 45x20 2 3x² +10x xỉ 45xỉ 20 3 Xn 2 3x²+10x X3 1.77100432 X3 2.428461501 X3 2.577003986 X3 1.724576751
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