math

Rewrite by completing the square.
2x^2 - 12x + 11

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asked by Cassy
  1. 2x^2 - 12x + 11
    2(x^2 - 6x) + 11
    2(x^2 - 6x + 9) + 11 - 2*9
    2(x-3)^2 - 7

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  2. 2 x ^ 2 - 12 x + 11 =

    2 ( x ^ 2 - 6 x ) + 11 =

    ______________________________________
    Take one half of the coefficient of x and square it.

    In this case : [ ( 1 / 2 ) * 6 ] ^ 2 = 3 ^ 2 = 9

    Multiply by 2

    2 * 9 = 18
    _______________________________________

    2 ( x ^ 2 - 6 x + 9 ) + 11 - 18 =

    2 ( x ^ 2 - 6 x + 9 ) - 7 =

    ______________________________________

    Exspress x ^ 2 - 6 x + 9 as a square:

    x ^ 2 - 6 x + 9 = ( x - 3 ) ^ 2
    ______________________________________

    2 ( x - 3 ) ^ 2 - 7

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    posted by Bosnian

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