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Math Help - Quadratic Equation

  1. #1
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    Quadratic Equation

    3t/(t2-6) = √3

    Basically I have to solve for t while incorporating the quadratic equation and I can't seem to get the correct answer. Any help would be appreciated. Thanks!
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  2. #2
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    Re: Quadratic Equation

    Quote Originally Posted by OutOfMyMind View Post
    3t/(t2-6) = √3

    Basically I have to solve for t while incorporating the quadratic equation and I can't seem to get the correct answer. Any help would be appreciated. Thanks!
    $$\frac{3t}{t^2-t}=\sqrt{3}$$

    $$\frac{\sqrt{3}t}{t^2-6}=1$$

    $$\sqrt{3}t=t^2-6$$

    $$t^2-\sqrt{3}t-6=0$$

    you can use the quadratic formula here with

    $$a=1, b=-\sqrt{3}, c=-6$$

    or you can notice

    $$t^2-\sqrt{3}t-6=(t-2\sqrt{3})(t+\sqrt{3})$$

    and solve it that way.
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