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← HistoryWhich optimization strategy did Al-Khwarizmi employ for solving quadratic equations using geometric algebra?
A)Completing the square by decomposition✓
B)Dividing coefficients by prime factors
C)Substituting variables with complex numbers
D)Approximating solutions using iterative methods
💡 Explanation
When solving quadratic equations, Al-Khwarizmi applied 'completing the square' because geometric algebra represented unknowns as areas and lengths; the method spatially manipulated these areas to form a complete square, directly revealing the solution. Therefore completing the square is the answer, rather than options (B), (C) or (D), which rely on symbolic manipulation or approximation uncommon in that era.
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