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← HistoryWhich method did Al-Khwarizmi use to teach problem-solving in 'Al-Kitāb al-Mukhtaṣar fī Ḥisāb al-Jabr wal-Muqābala'?
A)Geometric proofs alone, avoiding symbolic notation
B)Step-by-step algebraic manipulation and balancing✓
C)Numerical approximation via iterative algorithms
D)Reliance on abacus calculations, not written equations
💡 Explanation
Al-Khwarizmi employed systematic algebraic manipulation using 'al-jabr' (restoring) and 'al-muqābala' (balancing) to solve equations because these methods clearly illustrated the process of equation simplification. Therefore, step-by-step algebraic manipulation is correct, rather than geometric proofs, approximation, or abacus, which represent different approaches.
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