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10 December, 03:44

Rewrite the equation by completing the square.

x^2 + 7x + 12 = 0

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Answers (1)
  1. 10 December, 03:53
    0
    (x+7/2) ^2-1/4

    Step-by-step explanation:

    x^2 + 7x + 12 = 0

    Write x^2+7x+12 in the form x^2+2ax+a^2: 2a=7; a=7/2

    Add and subtract 7/2^2: x^2+7x+12 + (7/2) ^2 - (7/2) ^2

    Complete the square: (x+7/2) ^2+12 - (7/2) ^2

    Simplify: (x+7/2) ^2-1/4
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