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Determine the real root of f(x)=x*-8x³-35x²+450x -1001. Using false-position method to locate the root. Employ initial guesses of x1=4.5 and xy=6 and iterate until the estimated error ɛa falls below the level of ɛs=1.0%.

Determine the real root of f(x)=x*-8x³-35x²+450x -1001. Using false-position method to locate the root. Employ initial guesses of x1=4.5 and xy=6 and iterate until the estimated error ɛa falls below the level of ɛs=1.0%.

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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Determine the real root of f(x)=x4-8x³-35x²+450x -1001. Using false-position method to locate the root. Employ initial guesses of x1=4.5 and x=6 and iterate until the estimated error ɛ falls below the level of ɛs=1.0%. Note: Round-off your values to 6 decimal places. Write your answer for the root first (in 6dp), followed by the approximation error percentage (in 2dp) and separate your answer by a comma. (Ex. X.XXXXXX,X.XXXXXX)
Transcribed Image Text:Determine the real root of f(x)=x4-8x³-35x²+450x -1001. Using false-position method to locate the root. Employ initial guesses of x1=4.5 and x=6 and iterate until the estimated error ɛ falls below the level of ɛs=1.0%. Note: Round-off your values to 6 decimal places. Write your answer for the root first (in 6dp), followed by the approximation error percentage (in 2dp) and separate your answer by a comma. (Ex. X.XXXXXX,X.XXXXXX)
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