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14 April, 19:49

X² - 2x - 8=0

How do I complete the square

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Answers (1)
  1. 14 April, 19:56
    0
    X=-2

    Step-by-step explanation:

    Solution by completing the square for:

    x2-2x-8=0

    Keep x terms on the left and move

    the constant to the right side

    by adding it on both sides

    x2-2x=8

    Take half of the x term and square it

    [-2⋅12]2=1

    then add the result to both sides

    x2-2x+1=8+1

    Rewrite the perfect square on the left

    (x-1) 2=8+1

    and combine terms on the right

    (x-1) 2=9

    Take the square root of both sides

    x-1=±9-√

    Cannot Simplify the Radical term (1):

    Isolate the x on the left side and

    solve for x (1)

    x=1±3

    therefore (2)

    x=1+3

    x=1-3

    which becomes

    x=4

    x=-2
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