Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Level Curves?

  1. Jun 8, 2014 #1
    Hi guys,

    What is the best way to sketch

    0 = x2 - 2x + 4y2 And
    8 = x2 - 2x + 4y2

    ?

    How do I sketch these two and how do I know they're both ellipses?
    Thank you.
     
  2. jcsd
  3. Jun 8, 2014 #2

    pasmith

    User Avatar
    Homework Helper

    Complete the square in [itex]x[/itex]: [itex]x^2 - 2ax = (x - a)^2 - a^2[/itex].
     
  4. Jun 8, 2014 #3
    Then what do i do?
     
  5. Jun 9, 2014 #4

    CAF123

    User Avatar
    Gold Member

    What is the general equation for an ellipse in Cartesian coordinates? Can you see why completing the square helps?
     
  6. Jun 9, 2014 #5

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    [tex](x- 1)^2+ y^2= x^2- 2x+ 1+ y^2[/tex]
    Do you see how that is connected to [tex]x^2+ 2x+ y^2[/tex]?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Level Curves?
  1. Level Curve (Replies: 3)

  2. Level Curves (Replies: 2)

Loading...