Sūtra 11 of 16

Vyaṣṭisamaṣṭiḥ

Part and Whole

Average / mean methods; factorising via averages.

When to use

Quadratic factorisation, partial fractions, average problems.

How it works

Treat the parts in relation to the whole: e.g., the average of the roots equals −b/2a for a quadratic.

Memory formula

Use part–whole balance: average first, then spread equally around it.

Worked examples

Problem 1

Factor x² − 10x + 21

0/3

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