f(x) = x³ + 5x² − 2

a. Show that f(x) = 0 can be written as: 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.

Transcribed Image Text:

ix=√√2-5x² ix=3/32-5 ii iii x = 2-x³ 5