Sūtra 13 of 16

Sopāntyadvayamantyam

The ultimate and twice the penultimate

Solving certain equation types instantly.

When to use

Equations of the form 1/AB + 1/AC = 1/AD + 1/BC.

How it works

When the equation has this special structure, the answer comes from: ultimate (last) + 2 × penultimate (second-last) terms equating to zero.

Memory formula

For the special fraction pattern: ultimate + 2 × penultimate gives the quick equation.

Worked examples

Problem 1

1/((x+1)(x+2)) + 1/((x+1)(x+3)) = 1/((x+1)(x+4)) + 1/((x+2)(x+3))

0/3

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