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Math Help - finding X & Y intercepts

  1. #1
    Junior Member Jaycs's Avatar
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    finding X & Y intercepts

    I have the following problem:

    (X+5)^2+(Y-2)^2=20

    for x I got X=-1 or X=9

    For Y I solved
    Y= 2 square root -5 or Y= -2 square rt -5

    then im supposed to see if the y- axis and x axis is symetrical or the origin? Then justify it I'm unsure how to procede.
    Any help would be appreciated
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  2. #2
    MHF Contributor
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    I agree with your solution to the \displaystyle x intercepts, but I disagree with your solution to the \displaystyle y intercepts.

    Make \displaystyle x=0 and solve for \displaystyle y...


    \displaystyle (0+5)^2 + (y-2)^2 = 20

    \displaystyle 25 + (y - 2)^2 = 20

    \displaystyle (y-2)^2 = -5.


    This does not have a real solution, so it does not cross the \displaystyle y axis.
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  3. #3
    Junior Member Jaycs's Avatar
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    thanks the Y intercept I was unsure of.
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