Which approach did Al-Khwarizmi use when geometrically 'completing the square' within quadratic equations?

💡 Explanation

When Al-Khwarizmi solved quadratic equations, he applied geometrical 'completing the square' because the algebraic equation was represented as an area whose value he conserved while manipulating. Therefore area transformation maintained value, rather than other options which relied on later or different mathematical tools.

• Which structural weakness arises when a Roman castrum wall's foundational drainage system fails due to silt accumulation?
• Which long-term consequence resulted from selective breeding on highland maize in pre-Columbian Mesoamerica terraces?
• Which mechanism explains how Alhazen's 'camera obscura' created inverted images?
• Which outcome primarily resulted from the adoption of terrace farming in the ancient Andes?
• Which mechanism caused cast iron cannons of the 18th century to occasionally burst catastrophically during firing?
• Which outcome occurred when seasonal floods deposited excessive silt in Mesopotamia's complex network of irrigation canals?