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Math Help - Ellipse formula

  1. #1
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    Ellipse formula

    For the equation of each ellipse find the coordinates of the centre,foci, and vertices.

    1. 49x^2+16y^2+160y-384=0
    (49x^2+0+0)+ 16(y^2+10y+25)= 384+16(25) This is what I did
    (0x+0)+16(y+5)^2=784

    0x/784+(y+5)^2/49 Have I set up the equation right?
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  2. #2
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    Quote Originally Posted by homeylova223 View Post
    For the equation of each ellipse find the coordinates of the centre,foci, and vertices.

    1. 49x^2+16y^2+160y-384=0
    (49x^2+0+0)+ 16(y^2+10y+25)= 384+16(25) This is what I did
    (0x+0)+16(y+5)^2=784
    Where did the 49x^2 go??

    -Dan
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  3. #3
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    With 49x^2 I am not sure how to complete the square so I did (0/98)^2=0.
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  4. #4
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    Yes, so it is 49(x^2- 0)= 49x^2- it already is a perfect square.
    49x^2+ 16(y+5)^2= 784

    Now divide both sides by 49(16)
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