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Math Help - Conic Second

  1. #1
    Junior Member Dragon's Avatar
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    Conic Second

    Investigate the conic section 4x^2+Y^2-8x+4y+4=0 give all pertinent information and sketch

    i have no idea what conics are and what am i supposed to do
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  2. #2
    Moo
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    Hello,
    Quote Originally Posted by Dragon View Post
    Investigate the conic section 4x^2+Y^2-8x+4y+4=0 give all pertinent information and sketch

    i have no idea what conics are and what am i supposed to do
    Conic section - Wikipedia, the free encyclopedia

    4x^2+y^2-8x+4y+4=0

    (4x^2-8x+4)+y^2+4y=0

    4(x^2-2x+1)+y^2+4y+4-4=0

    4(x-1)^2+(y+2)^2=4

    Divide by 4 :

    (x-1)^2+\frac{(y+2)^2}{2^2}=1

    See here : Conic section - Wikipedia, the free encyclopedia the formula of the ellipse
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