Explore BrainMass

Explore BrainMass

    Completing the square

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Give an example using either completing the square or the quadratic formula and explain each step as if you were teaching someone who had never used the method before.

    © BrainMass Inc. brainmass.com December 15, 2022, 6:04 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/completing-the-square-122294

    Solution Preview

    A quadratic equation is a second-order polynomial equation in a single variable

    ax² + bx + c = 0

    where a is not equal to 0.

    Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has two solutions. These solutions may be both real, or both complex.

    The roots can be found by completing the square,

    x² + (b/a)x = - (c/a)

    Add b² / (4a²) to ...

    Solution Summary

    An example, using either completing the square or the quadratic formula is give.

    $2.49

    ADVERTISEMENT