Gunitasamuccayah
Gunitasamuccayah is a Vedic mathematics sutra that translates to "The product of the sum is equal to the sum of the product." This sutra is used for solving quadratic equations and finding two numbers whose sum and product are given.
For example, if you have a quadratic equation x^2 - 7x + 12 = 0, and you want to find the two numbers whose sum is -7 and product is 12:
Think of two numbers whose sum is -7 and product is 12. These numbers are -4 and -3.
Rewrite the equation using these numbers:
(x - 4)(x - 3) = 0.
Solve for x:
x = 4 or x = 3.
This sutra provides a method to quickly find solutions to quadratic equations and factorize them using the given sum and product conditions.
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