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    Mathematics - Algebra - Quadratic Equations

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

    Solving an equation with an exponent using the even-root property

    Solve....(see attachment for equation)
    Simplify your answer as much as possible.

    © BrainMass Inc. brainmass.com October 4, 2022, 12:56 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/mathematics-algebra-solving-quadratic-equations-203017

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    SOLUTION This solution is FREE courtesy of BrainMass!

    (x - 5)^2 - 63 = 0

    Taking square roots on both sides of the equation, we have

    x - 5 = sqrt 63

    x - 5 = +_ sqrt 63

    x - 5 = +_ sqrt(9 * 7)

    x - 5 = +_ 3 sqrt 7

    x = 5 +_ 3 sqrt 7

    There are two real solutions given by: x = {5 - 3 sqrt 7, 5 + 3 sqrt 7}.

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

    © BrainMass Inc. brainmass.com October 4, 2022, 12:56 pm ad1c9bdddf>
    https://brainmass.com/math/basic-algebra/mathematics-algebra-solving-quadratic-equations-203017

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