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Consider the equation 230 x + 18 x + 9x²-22x-9 = 0 has two real roots, one in [-1, 0] and the other in the interval [0, 1]. Attempt to approximate these roots to within 10 using (i) Method of false position, (ii) Secant method and (iii) Newton's method. Use the end points of each interval as the initial approximations in (i) and (ii); the midpoints as the initial approximation in (iii).

Consider the equation 230 x + 18 x + 9x²-22x-9 = 0 has two real roots, one in [-1, 0] and the other in the interval [0, 1]. Attempt to approximate these roots to within 10 using (i) Method of false position, (ii) Secant method and (iii) Newton's method. Use the end points of each interval as the initial approximations in (i) and (ii); the midpoints as the initial approximation in (iii).

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Consider the equation 230 x+ 18 x +9x-22x -9 0 has two real roots, one in [-1, 0] and the other in the interval [0, 1]. Attempt to approximate these roots to within 10 using (i) Method of false position, (ii) Secant method and (iii) Newton's method. Use the end points of each interval as the initial approximations in (i) and (ii); the midpoints as the initial approximation in (ii).
Transcribed Image Text:Consider the equation 230 x+ 18 x +9x-22x -9 0 has two real roots, one in [-1, 0] and the other in the interval [0, 1]. Attempt to approximate these roots to within 10 using (i) Method of false position, (ii) Secant method and (iii) Newton's method. Use the end points of each interval as the initial approximations in (i) and (ii); the midpoints as the initial approximation in (ii).
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