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← HistoryWhich iterative algebraic process did Al-Khwarizmi's method, 'al-jabr,' effectively apply to solve quadratic equations geometrically?
A)Newton-Raphson approximation
B)Completing the square✓
C)Gaussian elimination
D)Linear programming
💡 Explanation
When faced with quadratic equations, Al-Khwarizmi employed a 'completion of the square' because by geometrically manipulating an equation to form a perfect square, a solution could then be derived directly via square root operations. Therefore geometric square completion arises, rather than linear programming or elimination, applicable to optimization/linear systems.
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