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
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
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4bb9e8b7-1deb-4f04-b950-cce768e0de5c%2Fdbe2c127-eedd-4104-be8e-89ab41635487%2Fia39i9l_processed.jpeg&w=3840&q=75)
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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