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you are given that f(x) = x^5 - 5x + 3i) show that the equation f(x) = 0 has a root in the interval [1, 2]ii) show that the equation f(x) = 0 can be rewritten in the form x = (5)√5x - 3iii) starting with an estimate for the solution of x1 = 1, use the iterative formula to find the root in the interval [1, 2] correct to three decimal places

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