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24 December, 21:09

What are the solutions of the equation x2 + 4x + 4 = 25

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  1. 24 December, 21:23
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    x = - 7, 3

    Step-by-step explanation:

    x^2 + 4x + 4 = 25

    I will use completing the square. The left side is a perfect square

    (x+2) ^2 = 25

    Take the square root of each side

    sqrt ((x+2) ^2) = sqrt (25)

    x+2 = ±5

    Subtract 2 from each side

    x+2-2 = ±5 - 2

    x = ±5 - 2

    x = -5-2 x = 5-2

    x = - 7 x = 3
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