Problem

Suppose that we want to compute √2 by using Newton’s Method on the equation x2 = 2 (in t...

Suppose that we want to compute √2 by using Newton’s Method on the equation x2 = 2 (in the obvious, straightforward way). If the starting point is x0 = 7/5 , what is the numerical value of the correction that must be added to x0 to get x1?

Hint: The arithmetic is quite easy if you do it using ratios of integers.

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