Given the system of equations { x² − 3xy + y² = A x² + y² = B where A = 2 and B = 8 Find the 3rd iteration value of x using the successive displacement method with an initial guess of (1, 2) by solving x in the 3xy term of equation 1 and solving y in the y2 term of equation 2. Round off your final answer to five decimal places. Do not round off in preliminary calculations. Round your answer to 5 decimal places.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 2BEXP
icon
Related questions
Question

the correct answer 0.73108

Given the system of equations {
x² − 3xy + y² = A
x² + y² = B
where A = 2 and B = 8
Find the 3rd iteration value of x using the successive displacement method with an initial guess of (1,
2) by solving x in the 3xy term of equation 1 and solving y in the y2 term of equation 2.
Round off your final answer to five decimal places. Do not round off in preliminary calculations.
Round your answer to 5 decimal places.
Transcribed Image Text:Given the system of equations { x² − 3xy + y² = A x² + y² = B where A = 2 and B = 8 Find the 3rd iteration value of x using the successive displacement method with an initial guess of (1, 2) by solving x in the 3xy term of equation 1 and solving y in the y2 term of equation 2. Round off your final answer to five decimal places. Do not round off in preliminary calculations. Round your answer to 5 decimal places.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt