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21 December, 18:50

What is the missing constant term in the perfect sqaure that starts with x^2 - 4x

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  1. 21 December, 19:08
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    The expression is; x^2 - 4c + 4

    Step-by-step explanation:

    For the expression to be a perfect square, let us say the constant term should be assigned as ⇒ c;

    This creates of following expression;

    x^2 - 4x + c

    In order to be a perfect square, the discriminant needs to be zero;

    ( - 4) ^2 - 4 * (1) c = 0,

    16 - 4c = 0,

    4c = 16,

    c = 4,

    Solution; The expression is, therefore; x^2 - 4c + 4
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