1. (5)-Determine the real root of f(x) = 4 x³ - 6x² +7x-2.3 Using Bisection Method to locate the root. Employ initial guesses of X/= 0 and X₂ = 1 and iterate until the estimated error Ea falls below a level of Es = 10%. (3 iterations only). Iteration Xlower Xupper Summary Xr Table f (x lower) f (x upper) f (X r) Ea (%)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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I need help understanding the bisection method of numerical methods.
1. (5)-Determine the real root of f(x) = 4 x³ - 6 x² +7x-2.3
Using Bisection Method to locate the root. Employ initial guesses of X/= 0 and X₂ = 1 and iterate until
the estimated error Ea falls below a level of Es = 10%. (3 iterations only).
Iteration
1
2
3
Xlower
Xupper
Summary
Xr
Table
f (x lower) f (x upper)
f (x r)
€a (%)
Transcribed Image Text:1. (5)-Determine the real root of f(x) = 4 x³ - 6 x² +7x-2.3 Using Bisection Method to locate the root. Employ initial guesses of X/= 0 and X₂ = 1 and iterate until the estimated error Ea falls below a level of Es = 10%. (3 iterations only). Iteration 1 2 3 Xlower Xupper Summary Xr Table f (x lower) f (x upper) f (x r) €a (%)
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