f(x) = x² − 6x + 1

a. Show that the equation f(x) = 0 can be written as x = √6x + 1.

b. Sketch on the same axes the graphs of y = x and y = √6x - 1.

c. Write down the number of roots of f(x).

d. d Use your diagram to explain why the iterative formula  converges to a root of f(x) when x₀ = 2. f(x) = 0 can also be rearranged to form the iterative formula

e. By sketching a diagram, explain why the iteration diverges when x₀ = 10. 

n I-"x9 = 1+"x