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Math Help - Finding x intercepts of a function.

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    Junior Member alane1994's Avatar
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    Question Finding x intercepts of a function.

    y=x√x+9
    I am supposed to have the answer as an ordered pair, give an "exact" answer using radicals as needed... Any thoughts? I got (0,0), but I am wrong...
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  2. #2
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    Re: Finding x intercepts of a function.

    Quote Originally Posted by alane1994 View Post
    y=x√x+9
    I am supposed to have the answer as an ordered pair, give an "exact" answer using radicals as needed... Any thoughts? I got (0,0), but I am wrong...
    To find the x intercepts you set y=0. This gives

    0=x\sqrt{x}+9 \iff -9=x^{\frac{3}{2}}

    If x has to be a real number this equation has no solutions.
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  3. #3
    Junior Member alane1994's Avatar
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    Re: Finding x intercepts of a function.

    I should have been more specific... it is x\sqrt{x+9}I am doing this on an online program for my calculus course... I just ran out of attempts on this problem and it changed the problem...
    x\sqrt{x+6}
    Last edited by alane1994; October 8th 2012 at 12:19 PM.
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    Re: Finding x intercepts of a function.

    For x\sqrt{x+6} to be zero, you can have either x=0 or \sqrt{x+6}=0. So there are two x intercepts.

    Online homework systems can be picky about the format of the answer. Some systems let you do a practice problem where you can view the answer - then you will know the format of the answer.

    - Hollywood
    Last edited by hollywood; October 8th 2012 at 10:52 PM. Reason: latex fixes
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