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← HistoryWhich approximation method did Islamic mathematicians use to refine iterative solutions of polynomial equations?
A)Linear interpolation via false position✓
B)Boolean algebra logic gates
C)Differential calculus slope estimation
D)Harmonic series convergence testing
💡 Explanation
When solving algebraic equations by approximation (e.g. iterative methods), the regula falsi (false position) method uses weighted linear interpolation by refining guesses based sizes of errors. Therefore linear interpolation via false position occurs, rather than alternatives which depend on later or disjoint mathematical concepts.
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