Which algebraic mechanism did Al-Khwarizmi employ to systematically solve quadratic equations geometrically during the 9th century?

💡 Explanation

Al-Khwarizmi solved quadratic equations by 'completing the square', which involved geometrically manipulating areas to transform an equation into a perfect square, thereby revealing the root because the side length now equals the solution. Therefore completing the square by area manipulation results, rather than series, trigonometry, or calculus, which were developed later or required different mathematical frameworks.

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