The Sutra can be taken as Purana - Apuranabhyam which means by the
completion or non - completion. Purana is well known in the present
system. We can see its application in solving the roots for general form of
quadratic equation.
We have : ax2 + bx + c = 0
x2 + (b/a)x + c/a = 0 ( dividing by a )
x2 + (b/a)x = - c/a
completing the square ( i.e.,, purana ) on the L.H.S.
x2 + (b/a)x + (b2/4a2) = -c/a + (b2/4a2)
[x + (b/2a)]2 = (b2 - 4ac) / 4a2
________
- b ± √ b2 – 4ac
Proceeding in this way we finally get x = _______________
2a
