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Pūraṇāpūraṇābhyāṃ — By the completion or non-completion

Pūraṇāpūraṇābhyāṃ

पूरणापूरणाभ्याम्Puranapuranabhyam

By the completion or non-completion. Complete the square (or cube) by adding and subtracting the missing term — Vedic style completion method.

Why it works: To solve x²+bx=c: recognize b/2, add (b/2)² to both sides → (x+b/2)²=c+(b/2)². Vedic framing sees this as 'completing what is missing to make a perfect square'.

Speed advantage: Direct insight into root structure without memorizing quadratic formula.

Best for

  • Quadratic equations, completing the square

See the animated lesson, practice drills & proof on SutraFlow →

Originally published at https://www.sutraflow.app/sutras/puranapuranabhyam

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