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    MathMomma's Avatar
    MathMomma Posts: 6, Reputation: 1
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    #1

    Jun 30, 2010, 09:58 AM
    Quadratic formula that I cannot get!
    The numbers that I'm putting in the quadratic formula are too big and come out in decimals! Help!

    (5x-2)^2 = 3
    3
    ArcSine's Avatar
    ArcSine Posts: 969, Reputation: 106
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    #2

    Jun 30, 2010, 10:35 AM
    I'm assuming your starting equation is



    This implies



    which in turn leads to two equations...

    (5x - 2) = 3 and (5x - 2) = -3

    Each of those will have its own unique solution for x. Be sure to wrap up by verifying that both of the solutions do indeed satisfy your original equation.
    MathMomma's Avatar
    MathMomma Posts: 6, Reputation: 1
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    #3

    Jun 30, 2010, 10:47 AM
    Where does the -3 come from, I understand (5x-2)=3 but were does (5x-2)=-3 come from seeing that the 9 is a positive?
    KISS's Avatar
    KISS Posts: 12,510, Reputation: 839
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    #4

    Jun 30, 2010, 01:09 PM

    No, 5x-2 = sqrt(9)
    sqrt(9) has 2roots
    3 and -3

    3*3 = 9 and -3 * -3 = 9
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