f(x) x 3 5x 2 2 a Show that f(x) 0 can be written as b Starting with x 0 10, use the iterative formula in part a (i) to find a root of the equation f(x) 0 Round your answer to 3 decimal places c Starting with x 0 1, use the iterative formula in part a (iii) to find a different root of the equation f(x) 0 Round your answer to 3 decimal places d Explain why this iterative formulae cannot be used when x 0 2 ix 2 5x ix 3 32 5 ii iii x 2 x 5

Question: f(x) = x 3 + 5x 2 2 a. Show that f(x) = 0 can be written as: b. Starting with x 0 =

f(x) = x³ + 5x² − 2

a. Show that f(x) = 0 can be written as: ix=2-5x ix=3/32-5 ii iii x = 2-x 5 b. Starting with x₀ = 10, use the iterative formula in part a (i) to find a root of the equation f(x) = 0. Round your answer to 3 decimal places.

c. Starting with x₀ = 1, use the iterative formula in part a (iii) to find a different root of the equation f(x) = 0. Round your answer to 3 decimal places.

d. Explain why this iterative formulae cannot be used when x₀ = 2.

ix=2-5x ix=3/32-5 ii iii x = 2-x 5

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