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    Quadratic formula and Completing the square.

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    Solve the equation x2 + 8x - 2 = 0 using both
    1) The quadratic formula
    2) Completing the square
    Write a paragraph or two comparing and contrasting the two methods. Explain which method you prefer and why.

    © BrainMass Inc. brainmass.com October 9, 2019, 11:56 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/quadratic-formula-completing-square-272985

    Solution Preview

    Quadratic Formula -

    The solutions for a quadratic equation ax2 + bx + c = 0 is given by
    x = , where D = b2 - 4ac

    Given Quadratic equation is -
    x2 + 8x - 2 = 0

    Calculating D first -

    D = b2 - 4ac
    D = 8*8 - 4*(1)*(-2)
    D = 64 + 8
    D = 72

    Roots are -
    x =
    Now putting the values of a, b and c into the above equation, we have -
    x =
    x =
    x =

    Completing the square
    Given ...

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