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12 July, 11:52

Conplete the square: 6x squared plus 13x plus 6=0

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  1. 12 July, 12:21
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    6x^2+13x+6=0 subtract 6 from both sides

    6x^2+13x=-6 divide all terms by 6

    x^2+13x/6=-1 halve the linear coefficient, square it, and add it to both sides of the equation, (13/12) ^2=169/144

    x^2+13x/6+169/144=169/144-144/144 now the left side is a perfect square

    (x+13/12) ^2=25/144 take the square root of both sides

    x+13/12=±5/12 subtract 13/12 to both sides

    x=-13/12±5/12

    x = (-13±5) / 12
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