Question
Asked Dec 10, 2019
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Consider solving the equation 8x- 12x+ 6x-x =0

with either Bisection Method or Newtons Method. For one of the solution x = (1/2). Decide which method will converge faster. How about the solution x = 0?

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Expert Answer

Step 1

Consider the equation f (x) = 8x4 – 12x3 + 6x2 – x = 0.

Find the method which converge...

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Formula used: Newton's method: f (x,) = Xn n+1 f'(x,) Calculation: The Newton's method is faster. Differentiate the function with respect to x. f'(x) = 32x – 36x² +12x – 1 Here x = 0 and x=- be the two solutions. ||

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