As calculus is an integral part of Vedic mathematics, differential calculus is made use of in Vedic sutras for solving quadratic equations by breaking them into two simple equations.
Accordingly it has been stated in the Vedas that the first differential of the quadratic equation is equal to square root of the discriminant.
The discriminant is given as the square of coefficient of 'x' minus the product of double the coefficient of x2 and double the independent term.
Consider x2 + 4x - 3 = 0
Then its first differential is 2x + 4
Its discriminant is 42 - 2 * 1 * 2 * (-3) = 28
Therefore according to the sutra
2x + 4 = ± (28)-2 = ± 2(7)-2
==> x = 2 ± (7)-2
There are some more sutras and methods which when applied to quadratic equations in special cases make the job easier. Given below are a few types (methods).
|Using shoonyam samucchaye sutra|
|Using shoonyam samucchaye and shoonyam anyat sutras|