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Islamic Golden Age

Al-Khwarizmi’s geometric algebra

DISCOVER

Solve x² + 10x = 39 for the positive length x.

Complete a square to solve a problem about a square and strips. Add the missing corner, find the new side, then remove the added length.

x²5x5x5²x5x5

Schematic—not to scale. We seek a positive length. The unrestricted modern equation also has a negative root.