Use fixed point iteration method to determine a root of f (x) = -x² + 1.8x + 2.5 using an initial guess of x = 5. Perform eight (8) iterations and make sure that the resulting values of x converges on the true value otherwise use a different form of the given equation. I'll start the solution for you. The given equation can be written as, -x² + 1.8x + 2.5 = 0 x? = 1.8x + 2.5 x = V1.8x + 2.5 X+1 =/18x, + 2.5
Use fixed point iteration method to determine a root of f (x) = -x² + 1.8x + 2.5 using an initial guess of x = 5. Perform eight (8) iterations and make sure that the resulting values of x converges on the true value otherwise use a different form of the given equation. I'll start the solution for you. The given equation can be written as, -x² + 1.8x + 2.5 = 0 x? = 1.8x + 2.5 x = V1.8x + 2.5 X+1 =/18x, + 2.5
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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Transcribed Image Text:Fixed Point Iteration
Use fixed point iteration method to determine a root of f (x) = -x² + 1.8x + 2.5 using an
initial guess of x = 5. Perform eight (8) iterations and make sure that the resulting values of
x converges on the true value otherwise use a different form of the given equation. I'll start
the solution for you.
The given equation can be written as,
-x2 + 1.8x + 2.5 = 0
x? = 1.8x + 2.5
x = V1.8x + 2.5
1.8x + 2.5
X+1
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