Sketch on the same coordinate axes, the graphs of y-(x-1) and y=- x-2 Hence, deduce the number of roots of the equation x² - 4x +4x-2=0. Given that the positive root a of the equation lies in the interval (n, n+1), find the integer n. Using the Newton-Raphson method with the initial approximation x = 2.8, find the root a correct to three decimal places. Give a reason why x=n cannot be used as the initial estimate in above calculation.

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