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21 June, 08:57

What value of c makes 3x^2+24x+c contain a perfect square trinomial

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  1. 21 June, 11:52
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    One way to determine the value of c is to do completing the square. We do as follows:

    3x^2+24x+c = 0

    3x^2+24x = - c

    3 (x^2 + 8x) = - c

    3 (x^2 + 8x + 16) = - c + 48

    Since - c + 48 should be equal to zero thus,

    -c + 48 = 0

    c = 48
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