The equation has a root, , between x = 1 and x = 1.4. a. Show that

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The equation

has a root, α, between x = 1 and x = 1.4.

a. Show that α also satisfies the equation

b. Using an iterative formula based on the equation from part a, with a suitable starting value, find the value of α correct to 3 significant figures. Give the result of each iteration to 5 significant figures.

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