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Thread: plllz help question is below

  1. #1
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    Exclamation plllz help question is below

    the graphs of y=x^4 and y=7x^2-10 (just the x squared) intersect at 4 points with x coordinates plus or minus sqrt(m) plus or minus sqrt(n) where m>n what is m-n?
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  2. #2
    MHF Contributor

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    Re: plllz help question is below

    Where they intersect, $\displaystyle y= x^4= 7x^2- 10$ which is equivalent to $\displaystyle x^4- 7x^2+ 10= 0$. If you let $\displaystyle u= x^2$ that becomes the quadratic equation $\displaystyle u^2- 7u+ 10= 0$. So it is easy to solve for the values of x.
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