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20 February, 18:44

The equation shown below involves a perfect square trinomial. 4x2 + 20x + 25 = 7 Which of the following is a step in solving this equation? A. Take the square root of both sides B. Subtract 25 from both sides C. Square both sides D. Divide both sides by 4

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  1. 20 February, 18:55
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    4 x^2 + 20 x + 25 = 7

    Divide both sides by 4:

    x^2 + 5 x + 25/4 = 7/4

    Write the left-hand side as a square:

    (x + 5/2) ^2 = 7/4

    Take the square root of both sides:

    x + 5/2 = sqrt (7) / 2 or x + 5/2 = - sqrt (7) / 2

    Subtract 5/2 from both sides:

    x = sqrt (7) / 2 - 5/2 or x + 5/2 = - sqrt (7) / 2

    Subtract 5/2 from both sides:

    Answer: x = sqrt (7) / 2 - 5/2 or x = - 5/2 - sqrt (7) / 2
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