Question: f(x) = x 3 6x 2 a. Show that the equation f(x) = 0 can be written in the form and state the

f(x) = x³ − 6x − 2

a. Show that the equation f(x) = 0 can be written in the form x = a + b X' and state the values of the integers a and b. f(x) = 0 has one positive root, α

The iterative formula =is used to find an approximate value for α.

b. Calculate the values of x₁, x₂, x₃ and x₄ to 4 decimal places.

c. By choosing a suitable interval, show that α = 2.602 is correct to 3 decimal places.

x = a + b X'

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