Question: Show that the equation has three roots , and , where 1. For which of these is the iterative scheme convergent? Calculate the

Show that the equation

x 3x+1=0

has three roots α, β and γ, where α 1. For which of these is the iterative scheme

Xn+1 = (x + 1) n

convergent? Calculate the roots to 3dp.

x 3x+1=0

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