The equation has one real root, denoted by . a. Find, by calculation, the pair of consecutive

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The equation

has one real root, denoted by α.

a. Find, by calculation, the pair of consecutive integers between whichα lies.

b. Show that, if a sequence of values given by the iterative formula

converges, then it converges to α.

c. Use this iterative formula to determine α correct to1decimal place. Give the result of each iteration to 4 decimal places.

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