a. Using the fixed point method, derive the formula xn= x-1-b 'n-1 2xn-1-a For the approximate roots of the quadratic equation x² = ax + b = 0 b. Use the formula to find the positive root of x² - 13x - 1 = 0. Choose xo = 11 and tol = 0.01.

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

a. Using the fixed point method, derive the formula 

Xn=(x^2n-1 -b)/(2Xn-1-a)

For the approximate roots of the quadratic equation

X^2 - aX + b =0


b. Use the formula to find the positive root of

x^2−13x−1 = 0. Choose x0 = 11 ??? tol = 0.01

a. Using the fixed point method, derive the formula
Xn=
2
x-1-b
'n-1
2xn-1-a
For the approximate roots of the quadratic equation
x² - ax + b = 0
b. Use the formula to find the positive root of x² - 13x - 1 = 0. Choose xo = 11 and tol = 0.01.
Transcribed Image Text:a. Using the fixed point method, derive the formula Xn= 2 x-1-b 'n-1 2xn-1-a For the approximate roots of the quadratic equation x² - ax + b = 0 b. Use the formula to find the positive root of x² - 13x - 1 = 0. Choose xo = 11 and tol = 0.01.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,