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Puzzle of the Day #6

#6 · Thursday 1 October 2026. A new classic brain teaser every day, credited to where it comes from.

A poet-mathematician solved cubic equations centuries before algebra could

Long before anyone had a general algebraic formula for cubic equations, how could you find a real, measurable solution to one at all?

Reveal the answer

Omar Khayyam classified cubic equations into types and solved each geometrically, by carefully constructing intersecting conic sections -- parabolas, circles, hyperbolas -- so their intersection points gave the roots. His 'Treatise on Demonstration of Problems of Algebra' (c. 1070) predates a full algebraic solution to the cubic by nearly 500 years.

— Omar Khayyam, Treatise on Demonstration of Problems of Algebra — c. 1070 CE

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