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4 March, 09:08

Find the value of c that makes x^2+26x+c a perfect-square trinomial.

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  1. 4 March, 11:28
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    C = 169

    square is (x + 13) ^2

    Explanation:

    In the form:

    ax^2 + bx + c

    to complete the square a = 1 is required.

    c = (b/2) ^2

    the square term is b/2

    x^2 + 26x + c

    a = 1 so we are okay to complete the square.

    b = 26

    c = (26/2) ^2 = 13^2 = 169

    finally to complete the square:

    x^2 + 26x + 169 = (x+b/2) ^2 = (x+13) ^2
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