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Estimate the Value Of 5\sqrt { 5 } By Using Three Iterations of Newton's Method to Solve the Three

Question 98

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Estimate the value of 5\sqrt { 5 } by using three iterations of Newton's method to solve the equation x25=0x ^ { 2 } - 5 = 0 with initial estimate x0=2x _ { 0 } = 2 . Round your final estimate to four decimal places.

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