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A cubic polynomial is given by f(x) = x³-12x²9x + 220 Determine all three roots of this equation using the Newton-Raphson method. Use an initial guess of 12 to find the first root. Determine the value of a for the first iteration when finding the first root. Use other initial guesses to find the other two roots.

A cubic polynomial is given by f(x) = x³-12x²9x + 220 Determine all three roots of this equation using the Newton-Raphson method. Use an initial guess of 12 to find the first root. Determine the value of a for the first iteration when finding the first root. Use other initial guesses to find the other two roots.

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 cubic polynomial is given by f(x) = x³-12x²9x + 220 Determine all three roots of this equation using the Newton-Raphson method. Use an initial guess of 12 to find the first root. Determine the value of a for the first iteration when finding the first root. Use other initial guesses to find the other two roots.
Transcribed Image Text:A cubic polynomial is given by f(x) = x³-12x²9x + 220 Determine all three roots of this equation using the Newton-Raphson method. Use an initial guess of 12 to find the first root. Determine the value of a for the first iteration when finding the first root. Use other initial guesses to find the other two roots.
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