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Thread: quadratic formula

  1. #1
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    quadratic formula

    solve
    $\displaystyle \frac{x(15x-1)}{2}=1$
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  2. #2
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    $\displaystyle \displaystyle \frac{15x^2}{2}-\frac{x}{2}-1=0$ Now factor or apply the formula whichever works.
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  3. #3
    Member rtblue's Avatar
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    Continuing where dwsmith left off, and multiplying both sides by 2:

    $\displaystyle 15x^2-x-2=0$

    Factor:

    $\displaystyle (5x-2)(3x+1)=0$

    Now, by the Zero-product property:

    $\displaystyle 5x-2=0$ and $\displaystyle 3x+1=0$

    solving gives us:

    $\displaystyle x=\frac{2}{5}$

    $\displaystyle x=-\frac{1}{3}$
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