VEDIC MATHS
By OMKAR TENDOLKAR
Hello friends,
This is post number 108 from the series of "Vedic maths" blogs. Here in this blog we will learn about "Applications of the Sutras & Sub-sutras - 8"
VEDIC MATHEMATIC :
"VEDIC MATHEMATICS" is the name given to the ancient system of mathematics, or, to be precise, a unique technique of calculations based on simple rules and principles, with which any mathematical problem be it arithmetic, algebra, geometry or trigonometry can be solved, hold your breath, orally!
What we call "Vedic Mathematics" is a mathematical elaboration of 'Sixteen Simple Mathematical formulae from the Vedas' as brought out by Sri Bharati Krishna Tirthaji.
Sutras:
The system is based on 16 Vedic sutras or aphorisms, which are actually word formulae describing natural ways of solving a whole range of problems.
Some examples of sutras are "By one more than the one before", "All from 9 & the last from 10", and "Vertically & Crosswise". These 16 one-line formulae originally written in Sanskrit, which can be easily memorized, enables one to solve long mathematical problems quickly.
15. Gunithasamuchyah ( The product of the sum is equal to the sum of the product )
For the quadratic equation, in order to verify the result, the product of the sum of the coefficients of ‘x’ in the factors is equal to the sum of the coefficients of ‘x’ in the product.
Example: (x + 3) (x + 2) = x² + 5x + 6
(x + 3) (x + 2) = x² + 5x + 6
(1+3) (1+2) = 1 + 5 + 6
12 = 12
thus verified.
Example:
(x – 4) (2x + 5) = 2x² – 3x – 20
(x – 4) (2x + 5) = 2x² – 3x – 20
(1 – 4) (2 + 5) = 2 – 3 – 20
-21 = -21
thus verified.
16. Gunakasamuchyah ( The factor of the sum is equal to the sum of the factors )
For quadratic equation, the factor of the sum of the coefficients of ‘x’ in the product is equal to the sum of the coefficients of ‘x’ in the factors.
In next blog we will discuss about "Applications of the Sutras & Sub-sutras - 9".
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I will post my new blog in next week.
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Amazing explanation in a systematic manner
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