Nth root algorithm: Difference between revisions

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Line 40:
:<math> = x_k - \frac{x_k^n - A}{n x_k^{n-1}}</math>
:<math> = x_k - \frac{x_k}{n}+\frac{A}{n x_k^{n-1}}</math>
:<math> = \frac{1}{n} \left[{(n-1)x_k^({n-1)} +\frac{A}{x_k^{n-1}}}\right]</math>
 
leading to the general ''n''<sup>th</sup> root algorithm.