VibraXX
Live Quiz Arena
🎁 1 Free Round Daily
⚡ Enter Arena
HomeCategoriesHistoryQuestion
Question
History

Which 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.

🏆 Up to £1,000 monthly prize pool

Ready for the live challenge? Join the next global round now.
*Terms apply. Skill-based competition.

⚡ Enter Arena

Related Questions

Browse History