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11 November, 09:02

Use the method of completing the square to transform the quadratic equation into the equation form (x + p) 2 = q.

6 + 12x + 3x2 = 0

A) (x + 2) 2 = 2

B) (x + 2) 2 = - 2

C) (x + 2) 2 = 4

D) (x + 2) 2 = - 4

+4
Answers (1)
  1. 11 November, 09:30
    0
    A

    Step-by-step explanation:

    Given

    3x² + 12x + 6 = 0 (divide through by 3)

    x² + 4x + 2 = 0 (subtract 2 from both sides)

    x² + 4x = - 2

    To complete the square

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

    x² + 2 (2) x + 4 = - 2 + 4

    (x + 2) ² = 2 → A
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