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13 May, 07:42

Complete the square to transform the expression x^2 - 2x - 2 into the form a (x - h) ^2 + k.

(x - 1) 2 + 3

(x - 1) 2 - 3

(x - 2) 2 - 3

(x - 2) 2 + 3

+3
Answers (2)
  1. 13 May, 08:12
    0
    (x - 1) ² - 3

    Step-by-step explanation:

    Given

    x² - 2x - 2

    To complete the square

    add/subtract (half the coefficient of the x - term) ² to x² - 2x

    x² + 2 ( - 1) x + 1 - 1 - 2

    = (x - 1) ² - 3
  2. 13 May, 09:09
    0
    b. (x - 1) ^2 - 3.

    Step-by-step explanation:

    x^2 - 2x - 2 Note that x^2 - 2x is equivalent to (x - 1) ^2 - 1 so we have:

    (x - 1) ^2 - 1 - 2

    = (x - 1) ^2 - 3.
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