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    Vedic Math Sutra: Sutra 8 -Puranapuranabhyam

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    The Vedic Math Sutra 8 is called Puranapuranabhyam, which translates to – By the completion or non-completion. This sutra helps perform calculations involving complements or non-complements of numbers. Let’s explore how this sutra can be applied.

    Recommended Reading: VEDIC MATH SUTRA: SUTRA 3 – URDHAVA – TIRYAGBYHAM

    This sutra can be used to factorize and solve quadratic and cubic & bi-quadratic equations.

    The Sutra States

    “Puranapuranabhyam” (By the completion or non-completion) – “Whatever is to be added to the completed (Purana) or non-completed (Apurna) in one is added to the other.”

    To understand this sutra better, let’s consider an example.

    Example 1

    Solve the quadratic equation 2x^2 + 5x – 3 = 0 using Vedic Mathematics.

    Step 1: Understand the Quadratic Equation

    The given quadratic equation is 2x^2 + 5x – 3 = 0.

    Step 2: Identify the Values

    From the equation, we can identify the values as follows:

    a = 2

    b = 5

    c = -3

    Step 3: Apply the Puranapuranabhyam Sutra

    The product of the sum and difference of two numbers is equal to the difference of their squares.

    Let’s find two numbers whose product equals ac, which is 2*(-3) = -6, and whose sum is equal to b, which is 5.

    Let’s say m and n are those two numbers.

    Step 4: Factorize the Quadratic Equation

    We need to find two numbers whose product is -6 and whose sum is 5.

    By inspection, we can see that 6 and -1 fit these conditions since 6 * (-1) = -6 and 6 + (-1) = 5.

    Therefore, we can rewrite the quadratic equation as follows:

    2x^2 + 6x – x – 3 = 0

    Now, we can factorize it by grouping

    2x(x + 3) – 1(x + 3) = 0

    Notice that we have a common factor of (x + 3). Factoring it out, we get:

    (x + 3)(2x – 1) = 0

    Step 5: Solve for x

    Now, we’ll set each factor equal to zero and solve for x:

    x + 3 = 0 –> x = -3

    2x – 1 = 0 –> 2x = 1 –> x = ½

    These are the two roots of the quadratic equation 2x^2 + 5x – 3 = 0, obtained using Vedic Mathematics.

    Therefore, the roots are x = -3 and x = 1/2.

    You can verify these roots by substituting them back into the original equation.

    The Puranapuranabhyam sutra can be a helpful tool in performing calculations more efficiently by utilizing complements and non-complements. However, practicing and familiarizing yourself with various applications of Vedic Math sutras is essential to use them effectively.

    Recommended Reading: HOW VEDIC MATH CAN HELP GEN Z TO OVERCOME MATH FEAR

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    16 Sutras of Vedic Maths

    Moonpreneur

    Moonpreneur

    Moonpreneur is an ed-tech company that imparts tech entrepreneurship to children aged 6 to 15. Its flagship offering, the Innovator Program, offers students a holistic learning experience that blends Technical Skills, Power Skills, and Entrepreneurial Skills with streams such as Robotics, Game Development, App Development, Advanced Math, Scratch Coding, and Book Writing & Publishing.
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    Judith
    Judith
    11 months ago

    How many Sutras are there in Vedic Math?

    Rahul
    Rahul
    11 months ago
    Reply to  Judith

    Vedic Math consists of 16 Sutras called Formulae and 13 sub-sutras called Sub Formulae, which can be applied to the solving of problems in arithmetic, algebra, geometry, calculus, conics, etc.

    jazzz
    jazzz
    10 months ago

    Is Vedic maths useful in daily life?

    Simran Chawla
    Editor
    Simran Chawla
    10 months ago
    Reply to  jazzz

    Vedic maths enhances daily life by boosting mental calculation, problem-solving, and numerical proficiency. Its simplicity and versatility make tasks like managing finances and quick calculations more efficient and enjoyable.

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