Question: (a) Apply Newtons method to the equation x2 a = 0 to derive the following square-root algorithm used by the ancient Babylonians to compute √

(a) Apply Newton€™s method to the equation x2 €“ a = 0 to derive the following square-root algorithm used by the ancient Babylonians to compute √ a):


Xa+1 Xa+1=

(b) Use part (a) to compute √1000 correct to six decimal places.

Xa+1 Xa+1=

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