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24 January, 21:26

Complete the square to transform the quadratic equation into the form (x - p) 2 = q.

x2 - 6x - 8 = 6

A) (x - 6) 2 = 9

B) (x - 3) 2 = 23

C) (x - 6) 2 = - 9

D) (x - 3) 2 = - 23

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Answers (1)
  1. 24 January, 21:50
    0
    B

    Step-by-step explanation:

    Given

    x² - 6x - 8 = 6 (add 8 to both sides)

    x² - 6x = 14

    To complete the square

    add (half the coefficient of the x - term) ² to both sides

    x² + 2 ( - 3) x + 9 = 14 + 9

    (x - 3) ² = 23 → B
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