Which mechanism causes the iterative solutions in Al-Khwarizmi's algebra to converge to numerical approximations?

💡 Explanation

When solving equations iteratively in Al-Khwarizmi's methods, fixed-point iteration reduces error from approximate solutions using repeated computations thereby minimizing approximation. Therefore iterated root approximation results, rather than exact root bracket, simplified equations or eliminated balancing residuals, which depend strongly on symbolic methods instead of iterative approximation.

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