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Thread: i need help!!

  1. #1
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    i need help!!

    the roots of the equation


    x² = p
    ŻŻŻŻŻŻŻŻ
    4-x

    are equal (i.e. b² -4ac = 0). find the values of p
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  2. #2
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    Quote Originally Posted by ify00
    the roots of the equation


    x² = p
    ŻŻŻŻŻŻŻŻ
    4-x

    are equal (i.e. b² -4ac = 0). find the values of p
    I presume you mean:
    $\displaystyle \frac{x^2}{4-x}=p$

    So
    $\displaystyle x^2=p(4-x)$
    $\displaystyle x^2+px-4p=0$

    $\displaystyle b^2-4ac=0$ so:
    $\displaystyle p^2-4(-4p)=0$
    $\displaystyle p(p+16)=0$

    So p=0 or p=-16.

    -Dan
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