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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.

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
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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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.
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