A simple method

Calculus Level 1

To find square roots, one can use the following method. Let \(A\) be the number you want to find the square root of. Make an initial guess.

Let your guess be \( x_{0} \). Then \( x_{a+1} \) = \( 1/2 * ( x_{a} + (A/ x_{a})) \)

Using this method, what is \( x_{2} \) if \(A = 10\) and \( x_{0} = 2\)?

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