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Can any one solve this?

  1. Apr 25, 2007 #1
    Find the y coordinate for the center of the ellipse given by the equation 8x^2 + y^2 - 4y = 2
     
  2. jcsd
  3. Apr 25, 2007 #2

    Astronuc

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    Staff: Mentor

    Try to rewrite the equation in the general form of an ellipse.

    A (x - x0)2 + B (y - y0)2 = 0,

    where the center is at x0, y0
     
  4. Apr 25, 2007 #3
    i don't know how. how do you write it?
     
  5. Apr 25, 2007 #4

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Do you know how to "complete the square"?
     
  6. Apr 25, 2007 #5
    There is an easier method if you know differentiation. Differentiate the equation wrt x treating y as a constant to get a value for x, and similarly for y by treating x as a constant. The values of x and y you get are the coordinates of the center.
     
  7. Apr 25, 2007 #6
    the center is at (0,3)
     
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