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17 May, 22:09

What must be added to 9x^2-24x+10 to make it a whole square

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  1. 17 May, 22:11
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    To make given quadratic equation a whole number, we have to add 6 in the equation ... (3 x - 4) ²

    Step-by-step explanation:

    The given quadratic equation is

    9 x² - 24 x + 10 = 0

    (3 x) ² - 24 x + 10 = 0

    (3 x) ² - (2 * 3 x * 4) + 10 = 0

    Now if we add 6 to the equation, it will become whole square as (a + b) ²

    I. e (3 x) ² - (2 * 3 x * 4) + 10 + 6 = 0

    Or, (3 x) ² - (2 * 3 x * 4) + 16 = 0

    Or, 9 x² - 24 x + 16 = 0

    Or, (3 x - 4) ² = 0

    Hence to make given quadratic equation a whole number, we have to add 6 in the equation ... Answer
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