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Which 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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