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16 August, 16:35

When directed to solve a quadratic equation by completing the square, Sam arrived at the equation (x - (5/2)) ^2 = (13/4). which equation could have been the original equation given to Sam?

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  1. 16 August, 16:57
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    We have the following expression:

    (x - (5/2)) ^ 2 = (13/4)

    Let's rewrite the given expression:

    x ^ 2 - 5x + 25/4 = (13/4)

    x ^ 2 - 5x + 25/4 - 13/4 = 0

    x ^ 2 - 5x + 12/4 = 0

    x ^ 2 - 5x + 3 = 0

    Answer:

    the original equation given to Sam could have been:

    x ^ 2 - 5x + 3 = 0
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