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14 July, 15:50

Whats x^2-2x-2

akjdcpiwhbfcnkluje

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Answers (2)
  1. 14 July, 17:50
    0
    Step-by-step explanation:

    1 In general, given a{x}^{2}+bx+cax

    2

    + bx+c, the factored form is:

    a (x-/frac{-b+/sqrt{{b}^{2}-4ac}}{2a}) (x-/frac{-b-/sqrt{{b}^{2}-4ac}}{2a

    2a



    -b+√

    b

    2

    - 4ac





    ) (x-

    2a



    -b-√

    b

    2

    - 4ac





    )

    2 In this case, a=1a=1, b=-2b=-2 and c=-2c=-2.

    (x-/frac{2+/sqrt{{ (-2) }^{2}-4/times - 2}}{2}) (x-/frac{2-/sqrt{{ (-2) }^{2}-4/times - 2}}{2}) (x-

    2



    2+√

    (-2)

    2

    - 4*-2





    ) (x-

    2



    2-√

    (-2)

    2

    - 4*-2





    )

    3 Simplify.

    (x-/frac{2+2/sqrt{3}}{2}) (x-/frac{2-2/sqrt{3}}{2}) (x-

    2



    2+2√

    3





    ) (x-

    2



    2-2√

    3





    )

    4 Factor out the common term 22.

    (x-/frac{2 (1+/sqrt{3}) }{2}) (x-/frac{2-2/sqrt{3}}{2}) (x-

    2



    2 (1+√

    3



    )

    ) (x-

    2



    2-2√

    3





    )

    5 Cancel 22.

    (x - (1+/sqrt{3})) (x-/frac{2-2/sqrt{3}}{2}) (x - (1+√

    3



    )) (x-

    2



    2-2√

    3





    )

    6 Simplify brackets.

    (x-1-/sqrt{3}) (x-/frac{2-2/sqrt{3}}{2}) (x-1-√

    3



    ) (x-

    2



    2-2√

    3





    )

    7 Factor out the common term 22.

    (x-1-/sqrt{3}) (x-/frac{2 (1-/sqrt{3}) }{2}) (x-1-√

    3



    ) (x-

    2



    2 (1-√

    3



    )

    )

    8 Cancel 22.

    (x-1-/sqrt{3}) (x - (1-/sqrt{3})) (x-1-√

    3



    ) (x - (1-√

    3



    ))

    9 Simplify brackets.

    (x-1-/sqrt{3}) (x-1+/sqrt{3}) (x-1-√

    3



    ) (x-1+√

    3



    )
  2. 14 July, 19:03
    0
    x = 1±sqrt (3)

    Step-by-step explanation:

    x^2-2x-2=0

    This polynomial does not factor, so we can use completing the square to solve.

    Add 2 to each side

    x^2-2x-2+2 = 2

    x^2 - 2x = 2

    b=-2

    We take b/2 and then square it

    -2/2 = - 1 then square it (-1) ^2 = 1

    Add 1 to each side

    x^2 - 2x + 1 = 2+1

    The left side is equal to (x + (b/2)) ^2

    (x-1) ^2 = 3

    Take the square root of each side

    sqrt (x-1) ^2 = ±sqrt (3)

    x-1 = ±sqrt (3)

    Add 1 to each side

    x-1+1 = 1±sqrt (3)

    x = 1±sqrt (3)
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